Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 498634: When filling in the table of values for y = x^2, I noticed the values of y differ by a series of odd numbers: if x = 0, 1, 2, 3, 4... then y = 0, 1, 4, 9, 16... the y values differing by 1, 3, 5, 7... For y = (1/8)(x-4)^2 +5, the x values 4, 5, 6, 7... give y = 5, 5.125, 5.500, 6.125, 7... which works out to a difference of 1*(1/8), 3*(1/8), 5*(1/8), 7*(1/8)...
Why does this happen?

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Question 498825: I don't understand how to solve this problem. Thank you.
It says solve and check the quadratic equation below by taking the square root of both sides. Express irrational answers in rational form.
(x-10)^2=4
thank you so much

Click here to see answer by Theo(13342) About Me 

Question 498870: how can i find a teacher who will really teach me?
Click here to see answer by mananth(16946) About Me 

Question 498856: I do not understand how to solve this problem. It says solve and check the following equation.
3+(√3a+3)=9
thank you

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Question 498924: use the discriminant to determine the number of solutions and whether they are real or complex.
x^2 + 6x - 7 = 0
z^2 + z + 1 = 0
(3)^1/2 y^2 - 4y - 7(3)^1/2 = 0
I can not figure these three out. Please help! Thanks
Suzie

Click here to see answer by chessace(471) About Me 

Question 498978: factor completely and find the root of the expression
49x^2 -14x -3
Can you please help me with this?
Suzie

Click here to see answer by Alan3354(69443) About Me 
Question 498978: factor completely and find the root of the expression
49x^2 -14x -3
Can you please help me with this?
Suzie

Click here to see answer by htmentor(1343) About Me 

Question 498664: 2x^2+19x=-24 i need work for solve each quadratic by factoring

2(x-3)^2=8 by using sqaure roots

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Question 499027: b(b+9)=4(5+2b)
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Question 499020: By increasing her usual speed by 25 kilometers per hour, a bus driver decreases the time on a 25-kilometer trip by 10 minutes. Find the usual speed.

The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per subscriber would increase by 1¢ for each additional subscriber over the current 3,000. How many total subscribers are needed to bring a total profit of $113,100?

Perform the operations and simplify. 1/x times x^2-15x all over x-14

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Question 498976: 2x^3=-2
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Question 499103: how would you set up an equation to represent "a rowboat is 11 times as long as it is wide"? with an explanation please. I teach and this is a test question and my fellow teachers and myself do not understand the answer that we are given
Click here to see answer by jim_thompson5910(35256) About Me 

Question 499114: Ignoring wind resistance, the distance "d" in feet that a parachute falls in "t" seconds can be estimated using this formula d= 16t^2. If a parachutist jumps from an airplane and falls for 1100 feet before opening the parachute, how many seconds pass before the parachute is opened?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 499226: quadratic equations
i am not looking for the working out of this question
3 - 2x - 8x^2
how do you get it to resemble the formula
ax^2 + bx + c
do you bring the 8x^2 to the left side and make it positive as well as te 2x?

Click here to see answer by nerdybill(7384) About Me 

Question 499286: What the importance of quadratic equations to a basketball player, diver, or even a sniper. Give an example of a real-world situation where you would apply quadratic equations.


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Question 499267: 9^(7-2)=1/243
please help,
at first i changed the left and right numbers into values that were similar
(3^2)^(7-2x) = 1/3^5
were would i go from here and explain the laws of indices needed to solve this problem

Click here to see answer by Alan3354(69443) About Me 

Question 499392: In questions 6-10, use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions
4/3x^2 -2x + 3/4 = 0
This is the one that has me going in circles please help.
Suzie

Click here to see answer by jim_thompson5910(35256) About Me 

Question 499424: solve the system of equation using substitution to eliminate one variable.
y=2x
3x+y=20

I don't know how to work this out.

Click here to see answer by oberobic(2304) About Me 

Question 499460: 36x^2-12x+1=0
Click here to see answer by jim_thompson5910(35256) About Me 
Question 499460: 36x^2-12x+1=0
Click here to see answer by oberobic(2304) About Me 

Question 499477: For the following equation, state the value of the discriminate and then describe the nature of the solutions. -19x^2+8x+8=0
What is the value of the discriminant?
Which one of the statements below is correct?
A-The equation has two imaginary solutions.
B-The equation has two real solutions.
C-The equation has one real solution.

Click here to see answer by MRperkins(300) About Me 

Question 499535: find the two consecutive even integers whose product is 624

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Question 499770: Is 2 a solution of 3x+1=6
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Question 501025: subtract. simplify if possible
6-x/x-2 - 4x-7/2-x=

Click here to see answer by Maths68(1474) About Me 

Question 501374: use the quadratic formula to solve the equation x^2-5x= -9
Click here to see answer by rfer(16322) About Me 

Question 501391: what is the number of days after the ticket sale begin?
Click here to see answer by richard1234(7193) About Me 

Question 501665: please help me about this problem : one leg of a right triangle is 1 cm longer than the other leg, and the hypotenuse is 2 cm longer than the shorter leg. Find the lengths of the three sides of the triangle.I think the legs are 3 and 4 cm and the hypotenuse is 5 cm. but iam not sure about it, i need a solution and some explanation for this, i will also report this tomorrow on our class. please help me. thank you.
Click here to see answer by geetha_rama(94) About Me 

Question 501814: I need help solving the following... I have to simplify and then solve using the quadratic formula but I am getting stuck something is not right.. I have started to simplify but end up canceling out the 3x but don't I need that??? Grrrr Help please!!!
x(x+3)-2=3x+7

Click here to see answer by Alan3354(69443) About Me 
Question 501814: I need help solving the following... I have to simplify and then solve using the quadratic formula but I am getting stuck something is not right.. I have started to simplify but end up canceling out the 3x but don't I need that??? Grrrr Help please!!!
x(x+3)-2=3x+7

Click here to see answer by jorel1380(3719) About Me 

Question 501800: I am trying to figure out how to figure out the following... I am not sure how to change this into a quadratic formula to solve...
x^2=2/3x
Please help!!!

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Question 501925: x2+7x+10=
Click here to see answer by solver91311(24713) About Me 

Question 502053: I am not sure that this is a quadratic equation. I do not know what this is. But I need HELP!!!!
4- a-5/a+3 = a^2-1/a+3

I have been trying to figure this one out and I can not.
Please help. Thank you.

Click here to see answer by lwsshak3(11628) About Me 

Question 502349: Please help me I appreciate it
1.
Describe the graph of the quadratic function f(x) = -x2 + 7x + 8 by identifying the following:
the concavity of the graph;
the vertex;
the line of symmetry;
the x-intercepts and y intercept;
Justify your answers by showing work or providing a logical explanation.


Additional Instructions:

Describe the graph algebraically; in other words, without graphing.
Show work to support your answers.

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Question 502785: Solve equation using quadratic formula:
3n^2 - 2n - 56 = 0
(Three n squared minus 2n minus 56 equals 0)

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Question 502859: 9x^(4)-18x^(2)+5=0

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Question 502181: (5a-4)= a+41/a-1
Please help if you can.

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Question 503218: Please help me solve 16xsquared-8x-3=0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 503233: Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $2.00 each and Kathy selling adult tickets for $4.50 each. If their total income for 20 tickets was $60.00, how many did Ron sell?
Click here to see answer by Maths68(1474) About Me 

Question 503929: Find all numbers for which the rational expression is undefined.
p^3 - 9p/p^2 -64

Click here to see answer by oberobic(2304) About Me 

Question 503993: What happens to the 3 after you factor it out from the quadratic equation 3x^2 -3x-36=0? Is the 3 rejected or do you divide by 3 on both sides of the equation?
Click here to see answer by josmiceli(19441) About Me 

Question 503998: x^2=2x-26
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Question 503998: x^2=2x-26
Click here to see answer by bucky(2189) About Me 

Question 504108: -5 and -1
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Question 504431: -d/5- 21= -62

Click here to see answer by jim_thompson5910(35256) About Me 

Question 504751: my problem is x squared+8x+5.how do i get the answer? my teacher showed us a b c, but i dont understand .which number goes to each letter?(a,b,c)
Click here to see answer by rfer(16322) About Me 

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, 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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