Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 76853: solve the sytem algebraically
y^2 = x^2 - 32
x^2 + y^2 = 40
Click here to see answer by checkley75(3666)

Question 76853: solve the sytem algebraically
y^2 = x^2 - 32
x^2 + y^2 = 40
Click here to see answer by funmath(2925)

Question 76858: Please help!!! I have tried solving the following problems, but can't seem to understand. Whatever assistance anyone can provide will be greatly appreciated. Thanks in advance.
PG. 575
Using the factoring method, solve for the roots of each quadratic equation. Be sure to place your equation in standard form before factoring.
(14.)x^2 + 3x - 40 = 0
PG. 588
Solve using the quadratic formula. If there are no real roots, say so.
(20.) 3x^2 - 4x + 2 = 0
Click here to see answer by checkley75(3666)

Question 76879: I need help coming up with a real life situation for the equation:
-4.9x^2+15x+2.1
My teahcer suggested it as being a bridge...but I think it's too steep and I don't know what else it could be. Can you help?! Please.
Click here to see answer by adamchapman(301)

Question 76900: Hello tutor,
Okay so we are doing quadratic formulas and I get the first half of the steps. I dont understand though, what to do after you get the most simplified square root. I dont know what you are supposed to do with the denominator and the stuff on the outside by the add or subtraction sign. I've looked at tons of websites with just the steps on it, but not words, so i do not understand. If maybe you could clear that up that would be great. Thank you.
Click here to see answer by Edwin McCravy(8999)

Question 76887: The perimeter of a triangle is 85 inches. The sides are: 2x, 2x+5, and X squared + 3 Find the legths of the sides.
I though of putting them all together and then factoring, but it wasn't working out. If someone could help me I would really appreciate it.
Thank you very much for your time.
Click here to see answer by jim_thompson5910(28715)

Question 76919: Yuri has a board that is 98 in long. He wishes to cut the board into two pieces so that one piece will be 10 in. longer than the other. What should the length of each piece be?
Click here to see answer by bucky(2189)

Question 76930: Could you please help me simplify. +
I am struggling with this one for some reason. Please help me with this one. Thanks.
Click here to see answer by ankor@dixie-net.com(15746)

Question 76983: Solve using the square root property:
(x + 3)^2 = 36
please i need a good example to follow, for my other problems.
Click here to see answer by checkley75(3666)

Question 76983: Solve using the square root property:
(x + 3)^2 = 36
please i need a good example to follow, for my other problems.
Click here to see answer by jim_thompson5910(28715)

Question 76979: on page 842 lesson 10-2 number 11 is what i need help on the question is
-3x^2+6x-9=0
i would realy appreaciate it if you could help. Thanks!
Click here to see answer by checkley75(3666)

Question 77062: For the equation x - 2SQRT of X=0 , perform the following:
a) Solve for all values of x that satisfies the equation.

b) Graph the functions y = x and y=2 SQRT of X on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:

Points of intersection:

Click here to see answer by Edwin McCravy(8999)

Question 77140: 2x+3y=6 (for x) linear equation
Hints:
Isolate x on one side of the equals sign.
Your answer will be a formula, not a number.

Click here to see answer by stanbon(57967)

Question 77125: 9x+7=5x-3
Click here to see answer by checkley75(3666)

Question 77202: 9x + 7 = 5x -3
x=
Click here to see answer by tutorcecilia(2152)

Question 77203: A=1/2h(B+b)(for b)area of a trapezoid
Hints:
Isolate b on one side of the equals sign
B and b are 2 different variables. B does no = b
There is more than 1 correct answer to this question.
Your answer will be a formula, not a number.
b=

Click here to see answer by Earlsdon(6294)

Question 77198: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.
Click here to see answer by Earlsdon(6294)

Question 77198: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.
Click here to see answer by THANApHD(104)

Question 77175: Solve for x and check the result
6x-1/5 - 2x/3 = 3
(6x-1 over 5) - (2x over 3) = 3

X=

Click here to see answer by tutorcecilia(2152)

Question 77259: the solution set of the equation x^2-4x=0 is?
Click here to see answer by tutorcecilia(2152)

Question 77257: What is the value of x in the equation 5x+2x-4=4x+5?
Click here to see answer by avidreader27(9)

Question 77205: D=C-s/n (for s)Depreciation
Hints:
Isolate s on one side of the equals sign.
Your answer will be a formula, not a number.

Click here to see answer by stanbon(57967)

Question 76414: The demand and supply equations for a certain item are given by
D = 5p + 40
S= -p^2 + 30p -8
Find the equilibrium Price.
The answer I got for this one was $1.29. Is this correct? The answer options to this question are:
A)$1.29
B)$1.43
C)$1.57
D)$1.71
Thanks for all your help with this.

Click here to see answer by stanbon(57967)

Question 77319: Is (SQRTofX)^2=X an identity (true for all nonnegative values of x)?
Answer:
Explain your answer in this space.

Click here to see answer by jim_thompson5910(28715)

Question 77138: Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base.
Area of trapezoid: A=1/2h(B+b) A=(1/2)h(B+b)

Hints:
B and b are 2 different variables. B is not equal to b
B and b are both bases of the trapezoid. (A trapezoid has 2 bases)
B is 20 m; you must find b.
You may want to use your answer to question 24 above to solve this problem, BUT IT IS NOT ACTUALLY NECESSARY; it just makes it slightly easier.
Be sure to check your answer. Put your answer back into the formula for the area of a trapezoid. Does the garden area still equal 224 m2?

Click here to see answer by rajagopalan(158)

Question 77209: Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base.
Area of a trapezoid: A=1/2h(B+b)
Hints:
B and b are 2 different variables. B is no = to b
B and b are both bases of the trapezoid. (A trapezoid has 2 bases)
B is 20 m; you must find b.
You may want to use your answer to question 24 above to solve this problem, BUT IT IS NOT ACTUALLY NECESSARY; it just makes it slightly easier.
Be sure to check your answer. Put your answer back into the formula for the area of a trapezoid. Does the garden area still equal 224 m2?

Click here to see answer by rajagopalan(158)

Question 77208: Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base.
Area of a trapezoid: A=1/2h(B+b)
Hints:
B and b are 2 different variables. B is no = to b
B and b are both bases of the trapezoid. (A trapezoid has 2 bases)
B is 20 m; you must find b.
You may want to use your answer to question 24 above to solve this problem, BUT IT IS NOT ACTUALLY NECESSARY; it just makes it slightly easier.
Be sure to check your answer. Put your answer back into the formula for the area of a trapezoid. Does the garden area still equal 224 m2?

Click here to see answer by rajagopalan(158)

Question 77170: Problem:
Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base.
Area of a trapezoid= A=1/2h(B+b)
Hints:
B and b are 2 different variables. B does not = b
B and b are both bases of the trapezoid. (A trapezoid has 2 bases)
B is 20 m; you must find b.
You may want to use your answer to question 24 above to solve this problem, BUT IT IS NOT ACTUALLY NECESSARY; it just makes it slightly easier.
Be sure to check your answer. Put your answer back into the formula for the area of a trapezoid. Does the garden area still equal 224 m2?

Click here to see answer by ankor@dixie-net.com(15746)

Question 77176: Solve for x and check the result
6x-1/5 - 2x/3 = 3
(6x-1 over 5) - (2x over 3) = 3

X=

Click here to see answer by ankor@dixie-net.com(15746)

Question 77176: Solve for x and check the result
6x-1/5 - 2x/3 = 3
(6x-1 over 5) - (2x over 3) = 3

X=

Click here to see answer by checkley75(3666)

Question 77398: it is estimated that the earth is losing 4000 species of plant and animals every year if s represents the number of species living last year how many species are on eath this year
Click here to see answer by stanbon(57967)

Question 77214: -4(2x-3)= -8x + 5
Click here to see answer by katz(9)

Question 77172: Solve each literal equation for the indicated variable.
2x +3y = 6 (for x) linear equation
Hints:
Isolate x on one side of the equals sign.
Your answer will be a formula, not a number.

Click here to see answer by katz(9)

Question 77444: Can someone please help me with this? Thanks

Graph the following equations and find:
The y-intercept.
The x-intercepts, if any.
The vertex.
The line of symmetry.
Solve for the y-intercept, x-intercepts (if any), the coordinates of the vertex, and the line of symmetry using the methods shown in the lesson.
y = x2 + 7x + 12

y = x2 - 8x + 6

y = - x2 + 6x - 5

Click here to see answer by stanbon(57967)

Question 77464: find the positive root of the equation 4x^2-36=0
Click here to see answer by prabhjyot(164)

Question 77475: For the function y= x2 - 6x + 8, put the function in the form y = a (x - h) squared + k. I was able to solve it by factoring and using the quadratic formula, but I can't figure out how to use this formula.
Click here to see answer by jim_thompson5910(28715)

Question 77506: x^2+6x=7
Solve by completing the square to obtain exact solutions.
Click here to see answer by jim_thompson5910(28715)

Question 77570: Write each equation in the form y = a(x-h)2 + k:
y = 2x2 + 20x + 50
Click here to see answer by jim_thompson5910(28715)

Question 77509: Determine which of the given points lie on the line determined by the equations in Exercises 33 and 34.
33.4x- y = 7
a. (2,1)
b. (3,5)
c. (1,-3)
d. (0,7)

34. 2x divided 5y=6
a.(1/2, 1)
b.(3,0)
c.(0, 6/5)
d.-2,2)

Click here to see answer by checkley75(3666)

Question 77542: An open-top box is to be constructed from a 4 foot by 6 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.

b) Graph this function and show the graph over the valid range of the variable x..

c) Using the graph, what is the value of x that will produce the maximum volume?

Click here to see answer by ankor@dixie-net.com(15746)

Question 77604: will someone help me on how to get the particular equation for the quadratic function and will you please show specific step.
The sluggers were up to bat in the bottom of the ninth inning in a game against
the ditchers. Theo Slam was up to bat. As he plugged the ball toward left
field, it rose from 3 to 10 to 50 feet as the horizontal distance from home
plate increased from 0 to 2 to 14 feet. Assume that the vertical distance
varies quadratically with the horizontal distance.
Can someone please help me!!!!!!!!!!!!!!''.

Click here to see answer by bucky(2189)

Question 77645: How do I factor quadratic trinomials?
Click here to see answer by jim_thompson5910(28715)

Question 77836: you kick a soccer ball up in the air from an initial height of 2 feet with an initial velocity of 48 feet per second.
1. write a model that represents the height of the soccer ball.
2. what is the maximum height of the soccer ball?
3. how long does the soccer ball stay in the air? round your answer to the nearest hundredth.
could you help me please.
i only get the first question but i want to know if h=-16t^2+48t+2 is correct.
:]
Click here to see answer by bucky(2189)

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