Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 148747: The problem is to solve the quadratic equation using the Indian method of multiplying each term in the equation by four times the coefficient of the x sqrt 2 term.
The equation is 2x^2 - 3x - 5 = 0
This class is killing me. Please help
Ellen

Click here to see answer by mangopeeler07(462)

Question 148752: Under what kind of situations would one or more solutions of a quadratic equation by not applicable to real life or not realistic to use?
Click here to see answer by mangopeeler07(462)

Question 148758: Not understanding this:
Quadratic Coefficients: a = 1, b = 8, c = 15 Looking for "Solutions" x1=__________; x2 =__________
Can you explain?

Click here to see answer by jim_thompson5910(35256)

Question 148748: Not sure if I submitted my last question right.
The problem is to solve the quadratic equation using the Indian method of multiplying each term in the equation by four times the coefficient of the x sqrt 2 term.
The equation is 4x^2 - 4x + 3 = 0
Please help
Ellen
Click here to see answer by jim_thompson5910(35256)

Question 148769: I dont even understand this problem at all. 81x^2-144=0. Whoever solves this, then i wish you the best because it's difficult.
Click here to see answer by nerdybill(7384)

Question 148769: I dont even understand this problem at all. 81x^2-144=0. Whoever solves this, then i wish you the best because it's difficult.
Click here to see answer by jim_thompson5910(35256)

Question 148814: Why can't I get this? I keep getting two different answers
y = -2/5x + 11
y = 2/5x - 11/10

Write the equation in the slope-intercept form. 4x - 10y = 11
Please help.
Ellen
Click here to see answer by mangopeeler07(462)

Question 148809: The problem is to solve the quadratic equation using the Indian method of multiplying each term in the equation by four times the coefficient of the x^2 term.
The equation is x^2 +12x - 64 = 0
Help!!!!!
Ellen

Click here to see answer by mangopeeler07(462)

Question 148663: how do i plot a parabola on a graph using the quadratic equation?
Click here to see answer by Alan3354(69443)

Question 148923: I am having a terrible time solving this equation 4^2 - 4x = -3
It must be solved using the Indian method of first multiplying each term by 4. I have done that with the result of 16^2 - 16x = -12. The next step in this method is to add the square of the coefficient of the original x term to both sides, which results in 16^2 - 16x + 16 = -12 + 16. I have this correct, but cannot figure out how to complete the equation. How can I factor this equation, and then solve it.
I am pulling my hair out!
Ellen
Click here to see answer by mangopeeler07(462)

Question 148921: how do I solve (x-2)(x+1)≥0
related equation: (x-2) (x+1)=0
solutions for the equation: (2,-1)
intervals
(-∞,-1)(-1,2)(2,∞) After this I am confused ?
f(x)=(x-4)(x+2)
Click here to see answer by tangitehewagen(7)

Question 148903: 12. 6x� +5x� +7x

prime
(3x +1)(2x +1)
(2x +7)(3x +1)
x(6x� +5x + 7)

13. 4x� +14x -30

2(2x -3)(x +5)
2(2x -5)(x +3)
(4x -6)((x +5)
(2x -3)(2x +10)

14. 4x -8/(6x� -12x)

(2x -2)/(3x� -3x)
2/3
4/(6x)
2/(3x)

15. (3x -9)/(4x +20) . (x� +3x -10)/(6x� -12x)

3/4
(x -5)/(4(x +5))
(x -3)/(8x)
-3/8

16. (x� -4x -5)/(x� +2x +1) � (x -5)/(x +4)

(x -5)�/((x +1)(x +4))
5
(x +1)(x +4)/(x� +1)
(x +4)/(x +1)

17. Find the slope of a line passing through (-4, 6) and (-2, 5)

-1/2
-2
1/2
1/6

18. Find the equation of the line passing through (2, 4) and (-3, 8)

4x +5y = 28
4x -5y = -12
5x +4y = 26
5x -4y = -6

19.
x +y = 2
3x -2y = 6

(1, 1)
(2,0)
Inconsistent
Dependent

20.
2x �y = 8
x + 2y = 14

(6, 4)
(2, -4)
(0, 7)
(8, 3)

21.
x -2y = 12
x +3y = 2

(10, -1)
(0, -6)
(1, 1/3)
(8, -2)

22. ��16x4y12

2x�y�
2xy�
4x�y6
4x�y4

23. 2/��12

1/��6
��6 /6
��12 /6
��3 /3

24.
The hypotenuse of a right triangle is 10. One side is 2 less than the other. Find the length of each leg.

3, 5
5, 7
8, 6
4, 6

25. x� +7x +10 = 0

5, 2
-5, 2
-5, -2
-2, 5

Click here to see answer by mangopeeler07(462)

Question 148972: Can you help me evaluate this function?
f(x) = -x^2 + 5 for 4 = x
I get four different answers -9, -10, -11, -12
Which is right, and how do get it?
Please help me,
Ellen
Click here to see answer by mangopeeler07(462)

Question 149005: Find a quadratic equation that has solutions 3 and -7
Click here to see answer by ankor@dixie-net.com(22740)

Question 149089: How do I put this word problem into a quadratic equation or set it up?
An express and local train leave Gray�s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.
I know that distance equals rate times time but on all else I am confused to say the least. Any info you can offer will be greatly appreciated.
Click here to see answer by ankor@dixie-net.com(22740)

Question 149102: I just don't know how to set this problem up. I need help!
Ely stands next to his cousin Teri. He shoots his bb-gun at a straight horizontal angle. Teri records the time it takes from the moment Ely fires the bb-gun until the sounds of the ping(the bb hitting the can) to return, .25 seconds. The distance is 20 yards. The speed of sound is 1140 ft per sec. How fast does the bb travel? Hos far did the bb fall? The equation he gave us h=-16t^2+vt+h
Click here to see answer by solver91311(24713)

Question 149125: Problem: Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are it's dimensions?
Click here to see answer by checkley77(12844)

Question 149101: I just don't know how to set this problem up. I need help!
Ely stands next to his cousin Teri. He shoots his bb-gun at a straight horizontal angle. Teri records the time it takes from the moment Ely fires the bb-gun until the sounds of the ping(the bb hitting the can) to return, .25 seconds. The distance is 20 yards. The speed of sound is 1140 ft per sec. How fast does the bb travel? Hos far did the bb fall? The equation he gave us h=-16t^2+vt+h
Click here to see answer by ankor@dixie-net.com(22740)

Question 149165: Translate the following into a quadratic equation , and solve it: The length of a rectangular garden is three times it's width; if the area of the garden is 75 square meters, what are it's dimensions?
Click here to see answer by mangopeeler07(462)

Question 149164: How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex?
Click here to see answer by stanbon(75887)

Question 149163: What are three quadratic equations with a,b and c (coefficients of x^2,x and the constant.
using
1. Integers
2. Rational numbers
3. Irrational numbers
Click here to see answer by stanbon(75887)

Question 149203: I am supposed to set these up as an equation and solve I thought I had it but my answers look incorrect could you do it so that I can see what I did wrong? Thank you so much.
Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?
and
Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of $770 in interest. How much was invested at 8%?
Click here to see answer by nerdybill(7384)

Question 149216: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?
Click here to see answer by nerdybill(7384)

Question 149268: If x = 1 and x = -8, then form a quadratic equation
Click here to see answer by Fombitz(32388)

Question 149270: Determine whether the following equations have a solution or not? Justify your answer.
x2 + 6x - 7 = 0
z2 + z + 1 = 0

Click here to see answer by Fombitz(32388)

Question 149289: Write a quadratic equation based on the points (-1,0), (0.67,0), and (0,-2); and find its solution.
Click here to see answer by stanbon(75887)

Question 149282: Please, I need help with the next step, something is not right.
.05(113 � 2y) + 8 + .10(2y) = $10.45
Click here to see answer by Alan3354(69443)

Question 149282: Please, I need help with the next step, something is not right.
.05(113 � 2y) + 8 + .10(2y) = $10.45
Click here to see answer by checkley77(12844)

Question 149278: A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet?
Click here to see answer by checkley77(12844)

Question 149303: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by vleith(2983)

Question 149302: Please Help with this one I have been trying to figure this out for a while.
A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?

Click here to see answer by scott8148(6628)

Question 149314: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by ankor@dixie-net.com(22740)

Question 149386: In dealing with quadratic equations, how do we determine wheather the solutions are real or complex?
Click here to see answer by scott8148(6628)

Question 149394: If x = 1 and x = -8, then form a quadratic equation.
Click here to see answer by stanbon(75887)

Question 149392: Please help with the following word problem:
A stone is thrown upward from a bridge. The stone's height in feet, "h", above the water "t" seconds after the stone is thrown is a function given by h=-16t2 + 32t + 256.
a. How tall is the bridge from which the stone was thrown? My answer is 256 ft.
b. How high above the water is the stone after 3 seconds? My answer is 208 ft.
c. What is the maximum height of the stone? Stuck on this question.
d. After how many seconds does the stone reach the maximum height? Stuck on this question too.
e. How long does it take for the stone to hit the water? My answer is 5.12 seconds.
Please help with questions c and d.
Any help would be greatly appreciated. Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 149395: What type of solution do you get for quadratic equations where D<0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
Click here to see answer by stanbon(75887)

Question 149399: Translate the following into a quadratic equation and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
Click here to see answer by stanbon(75887)

Question 149412: How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex?
Click here to see answer by ankor@dixie-net.com(22740)

Question 149411: Create a real-life situation that fits into the equation (x+4)(x-7) = 0 and express the situation as the same equation.
Click here to see answer by ankor@dixie-net.com(22740)

Question 149428: Find three consecutive positive even intergers such that the product of the first and third is 60
Click here to see answer by Fombitz(32388)

Question 149426: A pine cone falls from the top of a 64-foot pine tree. How long will it take (in seconds) for the pine cone to reach the ground?
Use the equation h = -16t^2 + 64 where h is the height (in feet) above the ground t seconds after it falls from the tree.
Click here to see answer by Alan3354(69443)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240