Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 130760: Solve

Find the x-intercepts of
Click here to see answer by jim_thompson5910(28715)

Question 130761: Find the vertex and the equation of the line of symmetry for
Click here to see answer by jim_thompson5910(28715)

Question 130764: Solve by completing the square.
x^2 - 16x = 10
I tried using one of the solvers and it didn't seem to work for this problem.
Click here to see answer by edjones(7569)

Question 130765: Solve by completing the square.
x^2 +2x - 63 = 0
I got (7, -9) which doesn't appear to be correct. Can you help me?
Click here to see answer by edjones(7569)

Question 130762: How would you factor out the gcf of 3x^5 - 9x^4 + 21x^3?
I took out 3x^3 to get x^2-3x+7
However I am supposed to type it in factor form, so then what would the answer be?

Click here to see answer by edjones(7569)

Question 130770: The flower garden has the shape of a right triangle. 20 ft. of a perennial border forms the hypotenuse of the triangle, and one leg is 4 ft longer than the other leg. Find the lengths of the legs.

I was trying to set up using the pythagorean theorem and for some reason my answers keeps coming up as incorrect.
Setting up the problem as:

Am I doing something wrong?
Click here to see answer by solver91311(17077)

Question 130767: Solve x^2 + 7x -2 = 0
And, then find the x-intercepts of f(x) = x^2 + 7x - 2.
I appreciate the help, I am struggling with these problems and they do not come from a textbook.
Click here to see answer by jim_thompson5910(28715)

Question 130792: im doing an assignment about equations, but i found one problem. my problem was found in this one:
FIND TWO POSITIVE NUMBERS WHOSE SUM IS 100 AND WHOSE PRODUCT IS AS LARGE AS POSSIBLE.
please help me, i must get my assignment done. thanx a lot! Sandra
Click here to see answer by checkley71(8403)

Question 130813:
please answer me one more question if its possible. my new problem is
FIND THE HEIGHT AND BASE OF A TRIANGLE IF THEIR SUM IS 20 AND THEIR AREA IS A MAXIMUM.

i rlly dont get maximum and minimum values. what does that mean? and whats the difference when it says minimum or maximum. how can i set it up?
thanx truly
Click here to see answer by checkley71(8403)

Question 130619: Please help me solve this equation: one leg of a right triangle is 3 cm more than half the length of the other eg. the area of the triangle is 54cm^2. how long are each of the legs?
Click here to see answer by scott8148(6628)

Question 130706: Hello
I was wondering if you would be able to assist me please. I am given a quadratic problem, and was hoping you could show me how to set this out from the start. The worded ones always trouble me.
It goes like this:
If the profit $P for manufacturing x articles is given by P=140+60x-3x^2. How many such articles (x) should be manufactured for maximum profit? How much is the profit?
Thank you so very much.
Click here to see answer by scott8148(6628)

Question 130837: melinda's dad is 30 years older than melinda is now. eight years ago, his age was equal to the square of melinda's age then. how old is melinda now?
Click here to see answer by solver91311(17077)

Question 130878: Solve.
w^4 - 4w^2 - 2 = 0
What is the solution? w = _____
Click here to see answer by stanbon(57967)

Question 130911: These worded problems are killing me. Please assist me in making this a quadratic equation. Thank you.
It states:
Find the radius of a 12 cm high cylinder that has a surface area of 846cm^2.
Thank you so very much.
Click here to see answer by stanbon(57967)

Question 130920: "how do I convert this problem to a decimal notation? 8.55*10^7"
Click here to see answer by stanbon(57967)

Question 130935:
Click here to see answer by SHUgrad05(58)

Question 130951: Give exact and approximate solutions to 3 decimal places.

The exact solutions are:
The approximate solutions to 3 decimal places are:

Click here to see answer by solver91311(17077)

Question 130952: Solve for x.
1/x + 1/x+16 = 1/15
Click here to see answer by solver91311(17077)

Question 130952: Solve for x.
1/x + 1/x+16 = 1/15
Click here to see answer by checkley71(8403)

Question 130952: Solve for x.
1/x + 1/x+16 = 1/15
Click here to see answer by stanbon(57967)

Question 130949: Solve.
w^4-12w^2-2=0
I did a similar problem and was supposed to come up with 4 different radicals and I only came up with 2 for my answer and was told it was wrong.
Click here to see answer by solver91311(17077)

Question 130948: Solve.
3x^2-5x-13=0
Also, find the x-intercepts of f(x) = 3x^2-5x-13.

Click here to see answer by checkley71(8403)

Question 130933: Solve for r.
r^2 + 3r = 5.
The solutions are r = ________.

Click here to see answer by checkley71(8403)

Question 130919: "How do you determine a quadratic equation when the only solution provided in 8."
Click here to see answer by checkley71(8403)

Question 130905: An Art dealer advises that for the best display of a painting, the area of the frame should be (1/5) the area of the painting. Determine the best width of the frame for a painting 20-cm by 2o-cm,if the width is to be the same on all sides. Round answer to nearest tenth.
Click here to see answer by checkley71(8403)

Question 130875: Write a quadratic equation having the given numbers as solutions.
-10 and -8

Click here to see answer by mathispowerful(115)

Question 130843: Suppose at age 16 you decided to invest $5.00 in a fund that pays 8% interest compounded annually. How much money will have accrued in the fund when you retire at age 65?
Click here to see answer by checkley71(8403)

Question 130475: Solve for x: 9(^2x-1)= (81^(x+1)(27^-x) I think the answer is -2??????
Click here to see answer by cngriffith(27)

Question 130932: Solve for x.
1/x + 1/x+16 = 1/15
The solutions are x = ________.

Click here to see answer by edjones(7569)

Question 130950: 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
(-sqrt( 7 ))(root ( 8, 7 ))

Click here to see answer by TakeATuition.com(57)

Question 130882: 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.
- sqrt( 3 ) root( 3, 3 )
Click here to see answer by TakeATuition.com(57)

Question 130877: 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.
Solution: 5, only solution
I am confused with trying to back into the equation from the solution.
Click here to see answer by Earlsdon(6294)

Question 130992: Hey hows it going? Have been trying to work this one out all night, its late I'm tired, and I need to know why I cannot do this. are you able to help me please.
I am asked to :
Solve the following quadratic equations.
It is as follows:
m=20/m
Could you please let me know how when and where the -b+or-sqrtb^2-4ac/2a formula fits with this one.
Thank you so much.
Click here to see answer by checkley71(8403)

Question 130984: I have having great difficulty with these worded problems; your help would be greatly appreciated. Thank you.
It asks me:
To solve the following word problem using quadratic equation:
Then goes on to state:

Given the area of a rectangle is 90m2 and the perimeter of the rectangle is 40m, find the breadth of the rectangle.

Thank you.
Anthony

Click here to see answer by checkley71(8403)

Question 130934: 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.
Solution: 1, only solution
The equation is: ________________

Click here to see answer by mathispowerful(115)

Question 131071: I am not sure of this answer. I think the answer has one real solution. Am I correct?
x^2-3x+10=0
Does it have one real solution, two real solutions or two non-real solutions.
Click here to see answer by stanbon(57967)

Question 131070: Can some one help me? Thank you

Solve the formula for the given letter. Assume all variables represent non negatibve numbers.
E=nc^2, for c
Click here to see answer by stanbon(57967)

Question 131103: 1) A student opens a mathematics book to two facing pages. The product of the page numbers is 420. Find the page numbers.
The first page is ……………
The second page is …………….

Click here to see answer by jim_thompson5910(28715)

Question 131104: Find the vertex and the axis of symmetry for the following graph:

Click here to see answer by jim_thompson5910(28715)

Question 131105: Find the vertex and the axis of symmetry for the following graph:

Click here to see answer by jim_thompson5910(28715)

Question 131108: 4) A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 60 ft of fence? What should the dimensions of the garden be to give this area?
Click here to see answer by jim_thompson5910(28715)

Question 131109: 5) solve 4x+x(x-1)=0
find the x-intercepts of f(x)=4x+x(x-1)
What are the solutions x=……….
What are the x-intercepts

Click here to see answer by jim_thompson5910(28715)

Question 131119:
I can't figure out how to factor this completely the answer I keep getting is p+3(12p+52) but I don't think it is right. One of the other questions I have is
The answer I got to that is however i'm pretty sure that's wrong. If you could help me that would be great. Thanks so much
Click here to see answer by Earlsdon(6294)

Question 131125: What is the range of the function y=2(7)^(2x)-4??? I think it is y is less than -4?????????????
Click here to see answer by edjones(7569)

Question 131120: I am having some trouble with this problem.
The length of a rectangle is twice the width. The area is 392yd^2. Find the length and the width.
The length is .........yd.
The width is .........yd.
Thank You
Click here to see answer by checkley71(8403)

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