Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 574249: please solve and graph f(x)=(x-3)^2+4
Click here to see answer by ankor@dixie-net.com(22740)

Question 574602: How do you rewrite a function in the form of f(x)=a(x-h)^2+k then complete the square of f(x)=2x^2-20x+3
Click here to see answer by nerdybill(7384)

Question 574633: Find the constant that must be added to each binomial expression to form a perfect-square trinomial.
x^2 + 10x
Click here to see answer by josmiceli(19441)

Question 574550: what is exact value of the only real root of the equation x^3 + 6x^2 + 12x + 24 = 0
Click here to see answer by KMST(5328)

Question 574533: The product of digit of two digit number is 24.If 18 is added to the number digits are reversed.find the number.

Click here to see answer by ankor@dixie-net.com(22740)

Question 574673: How would I use the quadratic formula to solve 3x^2-6x-7=0?
Click here to see answer by Earlsdon(6294)

Question 574681: Solve. x�-5x+1=0
I`m stuck on this problem. I don`t even know how to start this problem.
Click here to see answer by g1000000(5)

Question 574827: Compute the discriminant of the quadratic equation 3x^2+x+2=0
Then write a brief sentence describing the number and type of solutions for this
equation. How do I solve this?
Click here to see answer by jerryguo41(197)

Question 574851: Solve the quadratic equation 2x^2-3x-2=0 in quadratic "form" . How so i solve this problem. If you can please show me step from step.
Click here to see answer by ankor@dixie-net.com(22740)

Question 574729: Please help me solve this problem
A person on the edge of a cliff throws a stone so that it hits the ground near the base of the cliff. The stone's height (in feet above the base) h(t) after t seconds is given by the function h(t)= -16t^2+30t+200
a. Find the vertex. What does it mean in this situation?
b. Estimate the height of the cliff
c. Did the person throw the stone upward or downward? Explain.

Click here to see answer by ankor@dixie-net.com(22740)

Question 575141: How to solve this for x
x(x+5)=0
Click here to see answer by jim_thompson5910(35256)

Question 575219: The width of a garage is five feet less than twice the length. What is the length of the garage if the area is 700 square feet?
Click here to see answer by chana(69)

Question 575668: 52. A rectangular painting has dimensions x and x + 10. The painting is in a
frame 2 in. wide. The total area of the picture and the frame is 900 in.

Click here to see answer by JBarnum(2146)

Question 575837: Hercomer charges $.50 per minute to tutor calculus students. Mergatroid charges $12 base rate plus $.25 per minute on top of that. For what interval of time does it cost less to hire Hercomer?
Click here to see answer by reviewermath(1029)

Question 575890: A rain gutter is to be made of a sheet that is 10in wide by turning up the edges 90 degrees.
I have developed the formula for the cross sectional area by letting x define the unknown quantity of depth that is to be the independent value.
my formula is f(x)= 2x^2 + 10x

My question is, what happens to the cross sectional area as depth size increases?
What x and y values make sense for this problem? (restricted domain and range)
Click here to see answer by ankor@dixie-net.com(22740)

Question 576132: find a formula ( in the form f(x)=ax2+bx+c) for aquadratic function with roots 1/2 and 6, and where the point (2,-56) is on the graph of the function
Click here to see answer by josmiceli(19441)

Question 576318: How do i solve this problem? 1/5r^2-2=5/6
The book says its 510/6, but i keep getting 85/6. What am I doing wrong?
Click here to see answer by vleith(2983)

Question 576378: Solve this quadratic equation using the quadratic formula.
3x2 + 5x + 1 = 0

Click here to see answer by Alan3354(69443)

Question 576541: How do you solve for x , y , z
x+5y+5z=-10
x+y+z=2
x+2y+3z=-3
Click here to see answer by solver91311(24713)

Question 576668: x^3=500
Click here to see answer by rfer(16322)

Question 576148: Give an example, show the work, and determine if the example has one, two, or no real solution.
Click here to see answer by richard1234(7193)

Question 576831: 3(x^2-3) = 35x + 19
please use the quadratic formula thankssss
Click here to see answer by ankor@dixie-net.com(22740)

Question 577105: Please help me solve this equation:
Click here to see answer by jim_thompson5910(35256)

Question 577108: Please help me solve this equation:
Click here to see answer by jim_thompson5910(35256)

Question 577104: Please help me solve this equation:
Click here to see answer by jim_thompson5910(35256)

Question 577118: Solve x^2-10x+25=0
Click here to see answer by jim_thompson5910(35256)

Question 577218: how can I do w^2-14w+24=0 for a quadratic formula
Click here to see answer by Alan3354(69443)

Question 577538: x^2-2x-3=5
Click here to see answer by jim_thompson5910(35256)

Question 5549: the width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches. What are the length and widthof the rectangle?
Click here to see answer by ankor@dixie-net.com(22740)

Question 577599: What is the vertex of x-3=2(y+1)^?
What is the vertex of y+1=1/2(x-3)^?
What is the vertex of x=1/2y^-y+3?

Click here to see answer by solver91311(24713)

Question 577587: Factorize A^2+B^2+AB
Click here to see answer by richard1234(7193)

Question 577452: how many quadratic equations are there whose roots when squared gives the same quadratic equation
Click here to see answer by richard1234(7193)

Question 577883: -5/3(x+2)^2-1/6 in standard form
Click here to see answer by jim_thompson5910(35256)

Question 577908: I am trying to solve the quadratic equation using the method from India.
I need assistance with each step.
The problem is 2x^2-3x-5=0
There are 6 steps and I have gotten to step 3
Step 1 2x^-3x=5
Step 2 8x^2-12x=20
Step 3 -3 is the original x term, therefore:
8x^2-12x+9=29
Step 4, now I am to take the square root of each side. This is where I am confused, need help here through step 6.
Click here to see answer by stanbon(75887)

Question 578005: Solve.
(x+16)(x-10)(x+7)>0
Click here to see answer by KMST(5328)

Question 578107: Hello, i have been given this maths question, please could you help me solve it. I have tried putting it into a quadratic equation then i realised that it cannot be factorised. The question is:
prove that the line y+x=-2 is a tangent to the curve y^2 = 8x
Thank you
Click here to see answer by Edwin McCravy(20054)

Question 578394: Can someone please help me solve this algebra problem. I set up the problem the best way, I knew how.
1/4 =3- 2x-1/x+2
This problem is suppose to be set up as a fraction 1/4 and 2x-1/x+2
Click here to see answer by stanbon(75887)

Question 578802: In the series 0, 3, 8, 15,__, What is the next number?the next number would be 24 as the difference is 2

Click here to see answer by asthatakkar(1)

Question 579253: what does x equal, using the quadratic formula, for x^2-3x-4=0????
Click here to see answer by nerdybill(7384)

Question 579676: I have k(squared)=49 and I need the steps to working it out along with the answer please...(:
Click here to see answer by richard1234(7193)

Question 580183: I need help with this equations:
1) write y=4x^2-32x+66 in vertex form
2)use the quadratic formula to solve the equation
4x^2-x+3=0
Click here to see answer by dfrazzetto(283)

Question 580406: 2x^2+12x+1=0
Click here to see answer by dfrazzetto(283)

Question 580432: If the graph of the quadratic function h is shifted vertically 4 units downward, then reflected in the x-axis, and then shifted horizontally 3 units to the left, the resulting graph is the parabola f(x) = x^2. What is the rule of the function h?
h(x)= _____________
What is the vertex of its graph?
Click here to see answer by josmiceli(19441)

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