Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 108378: finding square root
1/4(x+1)�-16=0
Click here to see answer by Fombitz(32388)

Question 108392: 2y�+6=y�
Click here to see answer by checkley71(8403)

Question 108519: The question ask is to "solve by factoring" the problem listed below. The answer given is -1, -12.
x^2-13x=-12
x^2-13x+12 = -12+12
x^2-13x+12 = 0
I'm stuck past this point!

Click here to see answer by stanbon(75887)

Question 108522: Solve using the square root property:
(x+6)^2=4
Click here to see answer by Fombitz(32388)

Question 108495: please help me on my homework.
1.the sum of the numbers is 15. the sum of the squares of the numbers is 113. find the numbers.
2. one number is 6 larger than the other number. the square of the larger number is 132 greater than the square of the smaller number. what are the numbers?
3. 5 years hence, a boy's age will be 4 times the square of his age 9 years ago. how old is this boy?
4. the perimeter of a square is numerically 4 more than its area. find the length of its side.
5. the width of a rectangle is 9 cm shorter than its diagonal and 7 cm shorter than its length. how long is the diagonal?
Click here to see answer by ankor@dixie-net.com(22740)

Question 108554: Solve using quadratic formula
x^2-7x-1=-7
Thanks in advance!!
Click here to see answer by stanbon(75887)

Question 108575: Write the equation listed below in quadratic form and then solve it by factoring
9x(x-19)= -810
Click here to see answer by Fombitz(32388)

Question 108591: what is the sum of the roots of the quadratic equation: ax^2 + bx + c = 0, where a, b, and c are all non-zero real constants
Click here to see answer by Fombitz(32388)

Question 108595: The following matrix is obtained from the augmented matrix of a system of equations.

1 0 3 20
0 1 2 -2
0 0 1 4
What is the solution to the system is?

Click here to see answer by stanbon(75887)

Question 108593: The following augmented matrix represents the system of what equstions:
1/3/2/4
2/-1/5/-2
-3/1/6/1
Click here to see answer by checkley71(8403)

Question 108588: For the following probability distribution u=_____
xi 250/300/400
pi 0.30/0.50/0.20
Click here to see answer by stanbon(75887)

Question 108578: The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s-16t^2, where t is the time the object has been falling. A 4 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from 6 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.)

Click here to see answer by stanbon(75887)

Question 108567: Solve by using square root property
2x^2-35=15
Thanks!!
Click here to see answer by Fombitz(32388)

Question 108574: Solve using the quadratic formula:
x^2-7x-1=-7
Click here to see answer by checkley71(8403)

Question 108582: The hypotenuse of right triangle is 2.8 units long leg is 1.7 units longer than the shorter leg. Find the length of the sides of the triangle.
Click here to see answer by Fombitz(32388)

Question 108571: Solve each equation.
5y^2-25y=0
Click here to see answer by checkley71(8403)

Question 108576: How many ways can three prints be selected from a collection of 10 prints?
Click here to see answer by checkley71(8403)

Question 108572: What is the solution to the system of equations
x+3y=12
4x-y=-17
Click here to see answer by checkley71(8403)

Question 108569: What is the equation of the line through (8,6) and (2,-4)?
Thanks,
Click here to see answer by checkley71(8403)

Question 108551: Solve using square root property
2x^2-35=15
Thanks in advance!!
Click here to see answer by checkley71(8403)

Question 108630: The augmented matrix
1 3 2 4
2 -1 5 -2
-3 1 6 1
Represent the systems of equations.
Click here to see answer by checkley71(8403)

Question 108668: If the sqaure of a positive integer is added to three times the integer, the result is 28. Find the integer.
Need help setting up the problem and possible solving. Once it is set up, I am good with solving it. PLEASE help~
Click here to see answer by scott8148(6628)

Question 108667: The square of an integer is equal to twice the integer. Find the integer.
I am havin a hard time with these kinds of problems. Once I get the equation set up I can do it, but its just getting the inital problem on the paper to do so.... PLEASE help! Thanks
Click here to see answer by scott8148(6628)

Question 108660: I submitted this earlier not sure what happened to it. Sorry if it doubled.
A travel agency advertises all expenses paid trips to the grey cup game for special groups. Transportation is by bus which seats 48 passengers, and the charge per person is $80, plus an additional $2 for each empty seat.
a. if there are X empty seats, find the equations for
i) how many passengers are on the bus and
ii) how much does each pay?
b. What are the travel agency's total revenue when there are X empty seats?
c. Find the maximum receipts.
Could anyone help please? thank you
Click here to see answer by scott8148(6628)

Question 108756: Solve using the quadratic formula:
x^2 - 3x = 7x - 2
Click here to see answer by Fombitz(32388)

Question 108813: I was just needing help with this problem. 2(x-5)^2=3 I am suppose to solve for x.
Click here to see answer by Earlsdon(6294)

Question 108812: 2x^2-5x=3 I am having trouble figuring this out.I am suppose to use the quadratic formula
Click here to see answer by jim_thompson5910(35256)

Question 108812: 2x^2-5x=3 I am having trouble figuring this out.I am suppose to use the quadratic formula
Click here to see answer by MathLover1(20849)

Question 108784: Use the quadratic formula and explain each step as if you were teaching someone who had never used the method before.
3m^2 + 10m +3 = 0
Click here to see answer by jim_thompson5910(35256)

Question 108819: solve using quadratic equation
4x�+7x-15=0
Click here to see answer by stanbon(75887)

Question 108822: factor
3x�-6x+3=0
Click here to see answer by Fombitz(32388)

Question 108822: factor
3x�-6x+3=0
Click here to see answer by MathLover1(20849)

Question 108824: I am having trouble with this equation.
Find x-intercepts
y=x^2+x-6
Click here to see answer by Fombitz(32388)

Question 108755: Solve by completing the square:
x^2 + 6x +1 = 0
Click here to see answer by elima(1433)

Question 108823: Identify the axis of symmetry, create a suitable table of values and sketch the graph(including axis of symmetry). Y=x^2-5x+3

I would appreciate any help on this.

Click here to see answer by stanbon(75887)

Question 108757: Use the quadratic formula to solve the equation
4x^2 - 36x = 48
Click here to see answer by elima(1433)

Question 108835: what is (a^2+a+1)+ (5a^2-8a+20)
Click here to see answer by checkley71(8403)

Question 108734: 3x^2 + 2x = 7

x^2 + 8x+9=-7

Thank You:-)
Click here to see answer by elima(1433)

Question 108951: I need help with this problem:
f(x)=-4x^2+ 4x-1
This is what the problem asks:
a)use the quad formula to find zeros
b)Find Max or min value
c)sketch the graph
This is what I have done so far:
-4+/- sqr rt(4^2-4(-4)(-1))/2(-4)
Note: This should be set up using the quad formula
This is what I came up with:
x= -4+/- sqrt(16-16)/ -8
Note: also set up in quad formula.
My problen is what to to with the 16s. If I subtract them that leaves Zero. I'm stuck here. I can look at the equation and tell it will be a max value but what are the zeros? Please help?

Click here to see answer by bucky(2189)

Question 108990: Use factoring to solve the equation
4x^2 +12x = 0
Click here to see answer by MathLover1(20849)

Question 108992: Use factoring to solve the equation
6z^2 = 60z - 126
Click here to see answer by MathLover1(20849)

Question 108996: Use the square root property to solve the equation
(x-9)^2 = 36
Click here to see answer by jim_thompson5910(35256)

Question 108999: Write the equation in quadratic form and solve by factoring.
x(x-7) + 12 = 0
Click here to see answer by MathLover1(20849)

Question 108995: Can't get this one, any help would be great, thanks.
The length of a rectangle is 5 cm more than 4 times its width. If the area of the rectangle is 76 cm2, find the dimensions of the rectangle to the nearest thousandth.
Click here to see answer by Fombitz(32388)

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