Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 250562: Graph the quadratic equation
y = x^2 + 8x + 7

Click here to see answer by Fombitz(32388) About Me 

Question 250828: Write in expanded form
(a-3b)^4


please help me on this problem! I would really appreciate it!

Click here to see answer by College Student(505) About Me 

Question 250964: Find the x intercepts
y = x^2 + 4

Click here to see answer by vksarvepalli(154) About Me 

Question 250884: Use the quadratic to solve:
D^2 - 117

Click here to see answer by Fombitz(32388) About Me 

Question 250961: Solve the equation by completing the square
p^2 + 3p - 9 =0

Click here to see answer by Fombitz(32388) About Me 

Question 250963: Solve for r
S = 1/3(pi)r^2h + 4(pi)rh

Click here to see answer by jsmallt9(3758) About Me 

Question 251041: how do you create a quadratic equation with only one solution? For example -3?
Click here to see answer by solver91311(24713) About Me 

Question 251105: I would really love some help on this problem!!
Use quadratic formula to solve:
x^2 - x = -6
I believe I have to use imaginary numbers but I am not sure how to do so.
Thank you so much in advance!!

Click here to see answer by vleith(2983) About Me 

Question 251011: Solve these quadratic equations by factoring.
4x2-25=0
-9x2+12x-4=0
6=x2-x

Click here to see answer by checkley77(12844) About Me 

Question 251178: how do I solve (x^2-5x+5)^(x^2-9x+20)=1?
Click here to see answer by stanbon(75887) About Me 

Question 251337: y=-x-4x-2

Click here to see answer by richwmiller(17219) About Me 

Question 251321: A picture 11 inches by 15 inches is to be mounted on a piece of mat board so that there is an even amount of mat all around the picture. How wide will the border be if the area of the mounted picture is 285 square inches?
Click here to see answer by richwmiller(17219) About Me 

Question 251309: Solve the equation.
x(x-3)= 40

Click here to see answer by blwinbbbles(106) About Me 

Question 251311: Tom traveled 280 miles east of St. Louis. For most of the trip he averaged 60mph, but for one period of time he was slowed to 10mph due to a major accident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed?
Click here to see answer by richwmiller(17219) About Me 

Question 251312: Solve the equation. Express radicals in simplest form.
x^2 + 3 =52

Click here to see answer by richwmiller(17219) About Me 

Question 251310: A polygon has 35 diagonals. How many sides does it have?
Click here to see answer by edjones(8007) About Me 

Question 251307: Solve the equation.
15r^2 = 3r

Click here to see answer by edjones(8007) About Me 

Question 251343: graph g(x)=2x^2-6x+3
Click here to see answer by checkley77(12844) About Me 

Question 251465: Please help me to find the roots of the quadratic equation: w^2+3w-10=0
Thank you.

Click here to see answer by Theo(13342) About Me 

Question 251511: x/19 + (2x-4)/19
Click here to see answer by checkley77(12844) About Me 

Question 251509: Dr. Taylor can see 10 patients in 5 hours. At this rate, how long would it take him to see 40 patients?
Click here to see answer by checkley77(12844) About Me 

Question 251319: An open box is to be made from a rectangular piece of tin by cutting two inch squares out of the corners and folding up the sides. The volume of the box will be 100 cubic inches. Find the dimensions of the rectangular piece of tin.
Click here to see answer by checkley77(12844) About Me 

Question 251553: How would you factor 5x^2-42x+16 using the box method?
Click here to see answer by richwmiller(17219) About Me 
Question 251553: How would you factor 5x^2-42x+16 using the box method?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 251584: Solve the quadratic equation: x^2-3x=0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 251316: Solve the problem. Round to the nearest tenth, if necessary.
A rock falls from a tower that is 432 feet high. As it is falling, it's height is given by the formula h= 432- 16t^2. How many seconds will it take for the rock to hit the ground (h=0)?

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

Question 251510: (x-6)/(x^2+5x-6) + 12 / (x^2+5x-6)
Click here to see answer by richwmiller(17219) About Me 

Question 251513: (6v^2/(5v^2-10v-15))*((5v-15)/2v)
Click here to see answer by padmameesala(42) About Me 

Question 251684: Problem: Originally, a rectangle was three times as long as it is wide. When 2 cm were subtracted from the length and 5 cm were added to the width, the resulting rectangle had an area of 90 cm squared. Find the dimensions of the new rectangle.
hmmmm, I tried this problem...but I keep getting decimal answers when solving :/ We are supposed to use only one variable in the actual equation, and use Quadratic equations to solve.
My Attempt:
w=width
l=length
l=3w
Formula-
A=width(length)
(3w-2)(w+5)=90
Then I foiled and got:
3w^2+13w-100=0
And I get stuck there :/ I don't think it factors and I'm not sure if I foiled wrong or set it up wrong. :/ Help me, please? Thanks :)
I put this under Algebra, although I am in Algebra II, I hope that is fine :D

Click here to see answer by jsmallt9(3758) About Me 
Question 251684: Problem: Originally, a rectangle was three times as long as it is wide. When 2 cm were subtracted from the length and 5 cm were added to the width, the resulting rectangle had an area of 90 cm squared. Find the dimensions of the new rectangle.
hmmmm, I tried this problem...but I keep getting decimal answers when solving :/ We are supposed to use only one variable in the actual equation, and use Quadratic equations to solve.
My Attempt:
w=width
l=length
l=3w
Formula-
A=width(length)
(3w-2)(w+5)=90
Then I foiled and got:
3w^2+13w-100=0
And I get stuck there :/ I don't think it factors and I'm not sure if I foiled wrong or set it up wrong. :/ Help me, please? Thanks :)
I put this under Algebra, although I am in Algebra II, I hope that is fine :D

Click here to see answer by richwmiller(17219) About Me 

Question 251710: How do you write a quadratic equation with integer coefficients for each pair of roots?
Click here to see answer by richwmiller(17219) About Me 

Question 251715: how do i find the quadratic equation,with this question:
" A rancher wants to yield the max amount of edible beef off of his square mile of land. At first he finds that as he adds more cattle, his yield goes up. However, if he overgrazes, the yield goes down. An agricultural agent tell him that his yield will vary quadratically with the # of animals that he grazes. For 5 head of cattle, his production is 8750 pounds of beef, and for 10 head of cattle, he reaps 15,000 pounds of beef. He had no production when he was grazing no cattle."
Find the particular equation of this function expressing pounds of beef produced in terms of the number of cattle.

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 251715: how do i find the quadratic equation,with this question:
" A rancher wants to yield the max amount of edible beef off of his square mile of land. At first he finds that as he adds more cattle, his yield goes up. However, if he overgrazes, the yield goes down. An agricultural agent tell him that his yield will vary quadratically with the # of animals that he grazes. For 5 head of cattle, his production is 8750 pounds of beef, and for 10 head of cattle, he reaps 15,000 pounds of beef. He had no production when he was grazing no cattle."
Find the particular equation of this function expressing pounds of beef produced in terms of the number of cattle.

Click here to see answer by Theo(13342) About Me 

Question 251817: Solve quadratic equations using the squaring method.
x^2+8x-2=0????

Click here to see answer by hokies(65) About Me 
Question 251817: Solve quadratic equations using the squaring method.
x^2+8x-2=0????

Click here to see answer by dabanfield(803) About Me 

Question 251837: Please help me solve the inequality of this equation:
(x-3)(x+4)(x-1)<0.
Whenever I solve this the solution I get is : x^3-13x+12<0
And I don't know what I'll do next.

Click here to see answer by jsmallt9(3758) About Me 

Question 251878: I need help understanding the method for solving quadratic equations from India.
The equation is x^2-2x-13=0. I have tried x^2-2x=13
4x^2-8x=52
4x^2-8x+4=52+4
4x^2-8x+4=56
then it asks to take the square root of both sides. Since I cant calculate the square root of 56 I have to believe that I have an error somewhere. Does the negative 2x change my equation?
Thanks for your help.

Click here to see answer by nyc_function(2741) About Me 
Question 251878: I need help understanding the method for solving quadratic equations from India.
The equation is x^2-2x-13=0. I have tried x^2-2x=13
4x^2-8x=52
4x^2-8x+4=52+4
4x^2-8x+4=56
then it asks to take the square root of both sides. Since I cant calculate the square root of 56 I have to believe that I have an error somewhere. Does the negative 2x change my equation?
Thanks for your help.

Click here to see answer by richwmiller(17219) About Me 

Question 251930: What two numbers added together equal -11 and then when the same two numbers are multiplied equal 15?
What two numbers added together equal 28 and then when those same two numbers are multiplied equal 32?
What two numbers added together equal -23 and then when those same two numbers are multiplied equal 36?

Click here to see answer by edjones(8007) About Me 
Question 251930: What two numbers added together equal -11 and then when the same two numbers are multiplied equal 15?
What two numbers added together equal 28 and then when those same two numbers are multiplied equal 32?
What two numbers added together equal -23 and then when those same two numbers are multiplied equal 36?

Click here to see answer by richwmiller(17219) About Me 

Question 251986: "Word Problems Involving Products and Factoring"
Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much

Click here to see answer by Theo(13342) About Me 
Question 251986: "Word Problems Involving Products and Factoring"
Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much

Click here to see answer by palanisamy(496) About Me 

Question 251985: "Word Problems Involving Products and Factoring"
Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much

Click here to see answer by MRperkins(300) About Me 
Question 251985: "Word Problems Involving Products and Factoring"
Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much

Click here to see answer by vleith(2983) About Me 

Question 251997: "Word Problems Involving Products and Factoring"
Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much

Click here to see answer by MRperkins(300) About Me 

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, 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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