Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 603689: Find all real solutions: x-5x^1/2+4=0
How would you solve this question?
Click here to see answer by mananth(16946)

Question 603872: If I am only given the solution how do I find the quadratic equation? I know that I have to work in reverse but I am not sure how to begin. could you help with an example?
Click here to see answer by ewatrrr(24785)

Question 604012: Hi,
Can someone help me please?
write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0.
-√̅7, 7√̅7
Thanks,
Click here to see answer by josmiceli(19441)

Question 604048: What is 3tsuared-7t-20
Click here to see answer by solver91311(24713)

Question 604227: please help solve this equation 7x^2-19x-6

Click here to see answer by flame8855(424)

Question 604246: solve z^2 = -z+1 by using the quadratic formula
Click here to see answer by flame8855(424)

Question 604247: Use the discriminant to determine the number of real solutions for the equation 8z^2-2z+6=0

a. 0
b. 1
c. 2

Click here to see answer by bucky(2189)

Question 604356: Can 5x^2 + 2x - 13 = 0 be factored?
Click here to see answer by jim_thompson5910(35256)

Question 604455: Beginning with the quadratic equation y = ax2 + bx + c, David plugged in 0 for x to get y = a(0) + b(0) + c, or y = c. What is ONE reason he might have done that?
Click here to see answer by solver91311(24713)

Question 604688: Rewrite the quadratic equation in standard form by completing the square.
f(x)=x^2+8x+14
Answer (f(x)= (x, plus or minus ___)^2 plus or minus ____
I have worked this to x, 4 as well as x, -4. I have also come up with x, +8.
Also for the second answer I have some up with +14 or sqrt 2.
Click here to see answer by nerdybill(7384)

Question 604791: hence, solve 15P^2-2P=0
Click here to see answer by alicealc(293)

Question 604841: Can you please help my in How to solve quadratic function word problems
my question is
A ball is released 6 feet above the ground and thrown vertically into the air. The equation h=-16t^+112t+6 gives the height of the ball if the initial is 112 feet per second.
1. Write the equation of the axis of symmetry and find the coordinates of the vertex of the graph of the equation.
2. What is the maximum height above the ground that the ball reaches?
3. How many seconds is the ball in the air?
Click here to see answer by nerdybill(7384)

Question 605101: What are the coordinates of the vertex of the graph of the given function?
y=-4x^2+3
a. (0,-4)
b. (0,0)
c. (0,3)
d. (0,-4/3)
Click here to see answer by stanbon(75887)

Question 605216: write an quadratic function that has a vertex(-2,-4) and passes through the points (0,0).
Click here to see answer by josmiceli(19441)

Question 605647: Please help me with my second to last problem of my homework! I really need help...
To go over a tree, a golfer uses a 7-iron to hit the ball with an initial upward velocity of 80 feet per second.
a. Write a quadratic function that gives the height of the ball t seconds after it is hit.
I think that a. is h(t)= 80t-16t^2 but I'm not sure...
b. Graph the function you found in part (a). (you can only give me the T chart.)
c. After how many seconds will the ball be at its maximum height?
d. What is the approximate maximum height the ball will reach?
Click here to see answer by nerdybill(7384)

Question 605744: Please help me solve this quadratic equation:
Click here to see answer by mathie123(224)

Question 605863: A ball is thrown upward with a velociity of 80ft/s from a height of 576ft. H= -16t^2+80t=576 gives the height,h, after t sec. Find the time when the ball is 300ft above the ground. H value is 300

OK--I know how that I have to set it to zero by subtracting 300 from 576. It will not factor out evenly. After setting it up with the quadratic formula, I am still getting it wrong. Please help me. I am on my 5th problem like this and am severly struggleing.
Click here to see answer by jim_thompson5910(35256)

Question 605913: How do you graph a parabola? What are 2 key points of a parabola and how do you find them?
Click here to see answer by lwsshak3(11628)

Question 605956: how do you find the vertex of the parabola for the quadratic equation
y=x^2-2x-35
Click here to see answer by scott8148(6628)

Question 605997: Please help me solve this equation, I'm trying to help daughter but am totally lost. She says they dont use discriminates: .

Click here to see answer by Alan3354(69443)

Question 605972: If an object is dropped a height of 400 ft, the function h(t) =-16 + 400 gives the height of the object after t seconds. when will it hit the ground?
Click here to see answer by Alan3354(69443)

Question 606060: Word problems STRESS me out!!! Please help!
A farmer decides to enclose a rectangular garden using the side of the barn as one side of the rectangle. What is the maximum area the farmer can enclose with 100ft of fence? What should the dimensions of the garden be to give this area?
THe maximum area the farmer can enclose with 100ft of fence is ___ sq. ft?
The dimensions of the garden to give this area is 50ft by ___ ft?
Click here to see answer by jim_thompson5910(35256)

Question 606058: These are difficult to figure out. Can someone please explains these to me?
1.) Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0
The solutions are -10, 1
The equation is ____ = 0
2.) Solve:
x^2 - x + 10 = 0
Click here to see answer by Alan3354(69443)

Question 606086: Quadratic equations are not my strong suit and I recently failed a quiz based on them. My re-take is coming up and I could really use help. My problem is I forget easily how to do the steps. Could you maybe work out a few easy problems and a few hard problems? So I know how to work both? Please and Thank you!
Click here to see answer by richard1234(7193)

Question 606203: Solve: C=3t+4/t for t
Click here to see answer by stanbon(75887)

Question 606171: solve: X2+8x+5=0
a. -4 + or - 2 square root 11
or is it
x. -4 + or - square root of 11
Click here to see answer by lynnlo(4176)

Question 606331: What Makes A Quadratic Function Equation diffrent from other eqations?
Click here to see answer by Edwin McCravy(20054)

Question 606570: Liz drops a marble from the top of a cliff 96 feet off the ground. The height
of the marble is described by the quadratic equation h = -16 t square + 96
where h is the height in feet and t is the time in seconds. Find the time t
when the marble hits the ground. Round to the nearest hundredth.
Thanks very much !
Click here to see answer by nerdybill(7384)

Question 606551: Hello Math peoples,
I would really appreciate some help on the forming and solving a quadratic equation.
THe Question is : " Subtracting a squared number from 68 gives the same result as doubling the number"
So I endeavoured to solve and got 68-x^2=2x
-x^2-2x+68=0
Am I forming the correct equation ?
Many thanks

Click here to see answer by KMST(5328)

Question 606647: How do you solve for a vertex when B is not given. i know how to do it when it is ax^2+bx+c, but i dont know what to do when its just ax^2+c
Click here to see answer by ewatrrr(24785)

Question 606047: Would someone please help me with this problem:
Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function:
f(x)= 1/3(x+5)^2 + 3

Click here to see answer by ewatrrr(24785)

Question 606745: I am confused. Would someone please check this problem out and clarify the correct answer for me? I submitted the problem and two different tutors on this site have given me different answers. Now I do not know which answer is correct.
the problem is:
find the vertex, the line of symmetry, and the max or min value of f(x), then graph the function.
f(x) = 1/3(x+5)^2 + 3
I received the answer:
vertex: (-5, 3)
line of symmetry: x = 5
and, 3 as the minimum value of f(x)
one tutor said the line of symmetry is -5, and the other said it is 5
Click here to see answer by richwmiller(17219)

Question 606828: Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway
musicals has started to tour, and your city is the first stop on the tour. You need to supply information
about projected ticket sales to the box office manager. The box office manager uses this information to
anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that
models the expected number of ticket sales for each day x. ( is the day tickets go on sale).
-0.2x^2+12x+11=0

1. What general shape will the graph of this equation take? Does the graph of this equation open up or down? How can you determine this just from looking at the equation? The equation goes down because the coefficient of is a negative.

2. Think about the line as it would appear when graphed. What does the value of x represent? What does the value of y represent? What does the general shape of the curve tell you about how ticket sales change across time? As time passes, the sales of the tickets will increase, hit the highest point and then decrease down to zero.
3. Use the discriminant to determine how many solutions there are to the equation . Show your work.
Since the discriminant is greater than 0, the equation has two unequal real solutions.
4. Find the solution(s) to the equation. Is your answer in (c) correct?
5. What, in terms of days and tickets sales, do the solutions represent? Is there a solution that doesn�t make sense? If so, in what ways does the solution not make sense?

Click here to see answer by solver91311(24713)

Question 606854: I am using the discrminant, but there is no B help!
Click here to see answer by rfer(16322)

Question 606858: Consider a quadratic function that has a minimum value of -6, and x-intercepts at (-6,0) and (0,0).
A)Determine the equation of the quadratic function. Show or explain your work.

....please help me! I really want to understand how to do this. I'm not sure how and what the answer would be.
Click here to see answer by stanbon(75887)

Question 606909: Hello! I need to solve this equation by completing the square:
5x^2+15x-1 =0
I know that the answer is -15-7√5/10, -15+7√5/10, I just don't know how to show all of the work. I know that I divide everything by 5, and you have a 3x. Then, take half of then and then square it (leaving it as a fraction).
This is due in the morning and I'm stuck. I'd appreciate help! Thanks!
Click here to see answer by Alan3354(69443)

Question 606965: Solve the equation by completing the square.
2x^2-x-2=0
What I've tried
2x^2-x-(1/2)^2=2-(1/2)^2
(2x-(1/2))^2=(9/4)
2x-(1/2)=+/-(3/2)
2x=2 or -1
X=1 or -(1/2)
Please show all steps.
Click here to see answer by Alan3354(69443)

Question 607020: If (x-4) (x+3)=0 which is the greater of the two roots?

Click here to see answer by pahuja(2)

Question 607202: IF you have 2x^2-89-11 but there is no x after 89 and we are for surely suposed to be dealing with quadratic equations 89 still be the B in the ax^2+bx+c=0?
Click here to see answer by jim_thompson5910(35256)

Question 607228: 4x^2=5+8x
Click here to see answer by jim_thompson5910(35256)

Question 607271: x - 4x^2
Click here to see answer by lynnlo(4176)

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