Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 718411: -13x +36 = 20x - 30
Click here to see answer by rfer(16322)

Question 718326: Do you know what would be the x intercepts of I have tried solving it but the answers I have gotten are 42.14 and -2.14 as well as 44.27.
Click here to see answer by jsmallt9(3758)

Question 718650: Solve each equations. Give answers involving radicals in simplest radicals form.
x^2+2x-4=0
Click here to see answer by jsmallt9(3758)

Question 718982: Solve the following question by factoring. If need be submit as fraction to lowest terms. I don't understand these type problems
5z^8/3+4z^5/3-12z^2/3=0
Click here to see answer by Edwin McCravy(20055)

Question 719148: A ball is thrown in the air with an initial velocity of 80 ft/sec. The path of the ball can be modeled by the equation h(t)=-16t^2+80t. What is the reasonable domain for the time the ball is in the air?
Click here to see answer by jsmallt9(3758)

Question 719217: How do you put y= -8x^2+ 3 into vertex form?
Click here to see answer by stanbon(75887)

Question 719217: How do you put y= -8x^2+ 3 into vertex form?
Click here to see answer by lwsshak3(11628)

Question 719283: The height in feet of a ball tossed in the air is given by h=-16t^2 + 10t, where t is the time in seconds. What is the initial height of the ball? a) 16 ft b)15 ft c)29 ft or d)30 ft
Question: I am the parent trying to help out. Can this problem be solved with 2 unknowns? We got this far: -16t^2 + 10 t - h = 0

Click here to see answer by solver91311(24713)

Question 719356: x^2-4x-60=0
Click here to see answer by Alan3354(69443)

Question 719735: Solve the quadratic 5x2 + 90 = 10
Click here to see answer by Alan3354(69443)

Question 719923: How do I factor the two following problems completely?
9x^2-1
and
x^2-100
Click here to see answer by Alan3354(69443)

Question 720087: I need to solve the following equation by factoring:
x^4-2x^2-3=0
Click here to see answer by josgarithmetic(39617)

Question 720061: what multiplies to get 5 and adds up to -7
Click here to see answer by jsmallt9(3758)

Question 719865: Hello can someone show me how to write the square root of -9 +8 (which is not under the square root sign as a comples number in standard form.
and is x^2-x-1 a prime quadratic .what is a prime qudratic.Thanks
Click here to see answer by jsmallt9(3758)

Question 720264: please help me with a problem such as 2x^2+3x=14 by doing zero product property.
Click here to see answer by MathLover1(20849)

Question 720290: Would like help checking the answers to a quadratic equation.
My initial 2x^2+3x=14
Answers are x= -7/2 and x= 2. I am not sure how to check these.
Thank you in advance.
Click here to see answer by jim_thompson5910(35256)

Question 720257: hey can you help me... the name of the chapter is: solving problems involving quadratic equations.
question :
the length of a rectangle is 5m more than its width. its area is 234m squared ,find the dimension of the rectangle
Click here to see answer by checkley79(3341)

Question 720438: During practice, a softball pitcher throws a ball whose height can be modeled by the equation h=-16t^2+24t+1, where h=height in feet and t=time in seconds. How long does it take for the ball to reach a height of 6 feet?
Click here to see answer by nerdybill(7384)

Question 720553: Steps to this pleasee
Simplify x^2/3-13x^1/3-30=0
Click here to see answer by jsmallt9(3758)

Question 720500: if you drop an object off the roof of an apartment building that is 240 feet tall, about how long will it take the object to hit the ground?

Click here to see answer by jsmallt9(3758)

Question 720750: the length of a diagonal of this rectangle is 34 m. given that the shorter sides are 14 m shorter than the longer sides, find the area
Click here to see answer by jsmallt9(3758)

Question 720746: I need these problems solved also to include all work and graphs. Please dumb it down for me because I have no clue how to plot the pairs (vortex) on the graph.

1) y= -2x^2
2) y=x^2-1
3) y=-2x^2+4
4) y= (x-1)^2
5) y= x^2+4x+6
6) y= -x^2+2x-8
7) y= 3x^2
8) y= -2x^2+4
9) y= x^2 +4x+6

Click here to see answer by lynnlo(4176)

Question 721119: y^2-8=4y
Click here to see answer by checkley79(3341)

Question 721119: y^2-8=4y
Click here to see answer by lynnlo(4176)

Question 721213: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches,according to the functions M(x) =19x-x^2.What rainfall produces the maximum number of mosquitoes?
Click here to see answer by nerdybill(7384)

Question 721340: Find the quadratic function that fits the set of data points.
(-3,-5), (-2,-8), (6,-248)
Click here to see answer by stanbon(75887)

Question 721296: x/(2x-1)>1
Click here to see answer by josgarithmetic(39617)

Question 721330: 6x^3 + 7x^2 = 10x
6x^3 + 7x^2 - 10x = 0
Click here to see answer by jsmallt9(3758)

Question 721228: A retangular badminton court has an original dinmesions of 14 feet wide by 18 feet long. It is determined that the court is not big enough and the length and width are increased, by the same amount, so that the new court is 437 square feet. By how much did the length and width increase?
Click here to see answer by jsmallt9(3758)

Question 721421: Solve the following equation using the substitution method.
x^4 �5x^2 �14=0
Complete the following steps to solve the above equation:
Let u=x^2, substitute the variables, and write the new equation.
Now factor the new equation, apply the zero-product principle, and solve for u.
Now substitute u=x^2 to solve for x.

Click here to see answer by stanbon(75887)

Question 721020: Solve the following equation using the substitution method.
x^4 �5x^2 �14=0
Complete the following steps to solve the above equation:
Let u=x^2, substitute the variables, and write the new equation.
Now factor the new equation, apply the zero-product principle, and solve for u.
Now substitute u=x^2 to solve for x.

Click here to see answer by jsmallt9(3758)

Question 721532: How do you solve this quadratic like equation:
(z^2-8)^2+2(z^2-8)-3=0
Click here to see answer by josgarithmetic(39617)

Question 721664: Find the quadratic function that fits the set of data points.

(-3,-5), (-2,-8), (6,-248)
Possibille answers:
A) f(x)=3x2 + 18x - 5
B) f(x)= -3x2 + 3x - 5
C) f(x)= -3x2 - 18x -32
D) f(x)= -2x2 + 18x + 32
E) None

Click here to see answer by MathLover1(20849)

Question 721712: When a number x is added to its square, the total is 90. find the values of x.
Click here to see answer by jsmallt9(3758)

Question 721579: Write a quadratic equation having the given numbers as solutions.
-10/3,-9/5
A) 15x2 + 77x +90=0
B) 15x2 + 6x + 77=0
C) 15x2 - 77x + 90=0
D) 15x2 + 77x -90=0
E) 15x2 + 77x +6=0
Click here to see answer by jsmallt9(3758)

Question 721753: A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds.
(a) Write an equation to determine how long it will take for the ball to reach the ground. Solve the equation using the quadtratic formula.
(b) What is the maximum height of the ball above the ground?
Click here to see answer by jsmallt9(3758)

Question 721902: how do you graph y = (x + 3)^2 - 2
Click here to see answer by lwsshak3(11628)

Question 722022: I am having trouble with the following question:if the graph of a quadratic equation has its vertex at the origin, then the related quadratic equation has exactly one solution, tell whether each statement is always, sometimes, or never true. Explain.
I think it's never because there are so many different numbers to use there will be more than one solution; however, I am not sure about this because I don't know how to solve or check this.
Please help me with this problem, and thank you for taking the time to read my question.

Click here to see answer by josgarithmetic(39617)

Question 722271: Could you please show me all steps to the factoring and solving? Also could you please show me how to check my solution back into the original equation?
For the Quadratic Formula problem, could you please include readable notation while you are working the computational steps?
Could you please show me the final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
If possible and applicable, could you please show me how to incorporate the following four math vocabulary words into my steps?
-Quadratic formula
-Factoring
-Completing the square
-Discriminant
1. 2m^2 � m � 15 = 0
2. 2y^2 - 3y � 6 = 0

Click here to see answer by josgarithmetic(39617)

Question 722335: Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.
f(x)=x^2+2x-9
Click here to see answer by stanbon(75887)

Question 722289: Could you please explain and show all steps to the factoring and solving to the questions below? Also could you please show me how to check my solution back into the original equation?
For the Quadratic Formula problem, could you please include readable notation while you are working the computational steps?
Could you please show me the final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
If possible and applicable, could you please show me how to incorporate the following four math vocabulary words into my steps?
*Quadratic formula
*Factoring
*Completing the square
*Discriminant
1. 2m^(2) - m - 15 = 0
2. 2y^(2) - 3y - 6 = 0
Click here to see answer by ankor@dixie-net.com(22740)

Question 722631: Could you please show me the steps to factoring and solving the problem below?
Also, could you please show me how to check my solution back into the original equation?
Could you please show me the final solutions as decimal approximations carried out to the third decimal place.
If possible and applicable, could you please show me how to incorporate the following four math vocabulary words into my steps?
-Quadratic formula
-Factoring
-Completing the square
-Discriminant
1. 2m^(2) - m - 15 = 0
Click here to see answer by lynnlo(4176)

Question 722772: what is y=2xsquared+4x-1

Click here to see answer by checkley79(3341)

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, 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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