Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 959473: -4(x-2)^2 + 5
Click here to see answer by macston(5194)

Question 959682: The question is to write, and then solve this problem:
"The Length of a rectangle is 2 more than 8 times it's width. It's area is 36 cm^2. Find the width and length."
I wrote. (8w+2)w=36, and got the answers Length= 9\4, and width= 2. However when I look at the answer key, it says that the answer is Length= 18 and width = 2. I have no clue how they got this answer. PLEASE HELP IT IS DRIVING ME INSANE!!!

Click here to see answer by Alan3354(69443)

Question 959771: x^2-19x+70=0

Click here to see answer by jim_thompson5910(35256)

Question 959793: NASA launches a rocket at t=0 seconds. It's height, in meters above sea-level, as a function of time is given by h(t)= -4.9t^2+67t+339. How high above sea-level does the rocket get at it's peak?
Click here to see answer by nerdybill(7384)

Question 959818: 3xsquare + 2xsquare = 5xsquare ?
Click here to see answer by Saleye(10)

Question 960056: what is the vertex of f(x)=-2x^2+2x+5
Click here to see answer by MathLover1(20849)

Question 960120: convert to vertex form
y=-3x^2-24x-46
Click here to see answer by Theo(13342)

Question 960165: What are the roots of X3 1
Click here to see answer by Fombitz(32388)

Question 960200:
Click here to see answer by Alan3354(69443)

Question 960249: y=x^2-4x-10 i have to do that by completing the square
Click here to see answer by lwsshak3(11628)

Question 960249: y=x^2-4x-10 i have to do that by completing the square
Click here to see answer by MathLover1(20849)

Question 960248: i am supposed to solve this equation y=2n^2+2n-24 using the quadratic formula and i dont know how can you help
Click here to see answer by lwsshak3(11628)

Question 960248: i am supposed to solve this equation y=2n^2+2n-24 using the quadratic formula and i dont know how can you help
Click here to see answer by josmiceli(19441)

Question 960354: Tickets to a school dance cost $3, and the projected attendance is 325 persons. It is further projected that for every 10� increase in ticket price, the average attendance will decrease by 5. At what ticket price will the receipts from the dance be $1,125?
Click here to see answer by lwsshak3(11628)

Question 960228: Lora Wallman wishes to fence in a rectangular region along a river bank with only 3 sides. If she has only 400 feet of fencing and wishes to enclose an area of 15,000 sq feet, find the dimensions of the rectangular region.
Click here to see answer by Fombitz(32388)

Question 960239: the area of a rectangle is 18 square meters. when the length is increased by 2 meters, and the width increased by 3 meters, the area becomes 48 square meters. Find the dimensions of the smaller rectangle.
Click here to see answer by Fombitz(32388)

Question 960593: Write the quadratic in general form:
1)3/5(3x^2-10)=12x
2)13-3(x+7)^2=0
3)X(x+2)=5x^2+1
Click here to see answer by MathLover1(20849)

Question 960772: Use the remainder theorem to find P(-2) for P(x)= x^3+4x^2-4x-8. Specifically give the quotient and the remainder for the associated division and the value of P(-2).
Quotient =
Remainder =
P(-2)=
Click here to see answer by josgarithmetic(39616)

Question 960773: For the polynomial below, -3 is a zero.
f(x)= x^3-x^2-10x+6
Express f(x) as a product of linear factors.
f(x)=
Click here to see answer by Edwin McCravy(20054)

Question 960773: For the polynomial below, -3 is a zero.
f(x)= x^3-x^2-10x+6
Express f(x) as a product of linear factors.
f(x)=
Click here to see answer by lwsshak3(11628)

Question 960747: simplify
10x with a little 6 + 8x with a little 4
divide by 2x squared
Click here to see answer by macston(5194)

Question 960819: The cost C (in dollars) of manufacturing x radios at Abdul's Stereo World is given by the function C(x)=0.6x^2-420x+81,763. What is the minimum cost of manufacturing radios?
Do not round your answer
Click here to see answer by lwsshak3(11628)

Question 960888: If the roots of quadratic equation px�-9x+4=0 are 4 and �.Calculate the value of p.
Click here to see answer by Theo(13342)

Question 960938: The width of a rectangle is 12 feet less than 3 times the length, and the area is 15 square feet.

Part a: Write an equation that can be used to determine the length and width of the rectangle. Express your answer as a quadratic equation set equal to zero .
Part b: The length of the rectangle is ? feet.
Part c: The width of the rectangle is ? feet.
How do i solve this?
Thank you for yoour help.
Click here to see answer by josgarithmetic(39616)

Question 960940: Solve by factoring:
1)3/4x^2+8x+20=0
2)1/8x^2-x-16=0
Click here to see answer by MathLover1(20849)

Question 960937: The solution(s) to the equation 49a2 � 28a + 4 = 0 are ?
How do i solve this?
Thank you for yoour help.
Click here to see answer by MathTherapy(10551)

Question 960936: Solve the equation x(2x � 3) + 4 = 0
How do i solve this?
Thank you for yoour help.
Click here to see answer by ankor@dixie-net.com(22740)

Question 961186: You have made a quilt that is 4 feet by 5 feet. You want to use the remaining 10 square feet of fabric to add a decorative border of uniform width.

Part a: Write a quadratic equation set equal to zero that you could use to determine the width of the border .
Part b: The width of the border should be ? feet.
Can i please have help with this?
Click here to see answer by stanbon(75887)

Question 961263: 5x^2=80
Click here to see answer by stanbon(75887)

Question 961264: Explain why 2^x = 15 cannot always be solved in the same way as 2^x = 16. How would you solve each?
Click here to see answer by stanbon(75887)

Question 961264: Explain why 2^x = 15 cannot always be solved in the same way as 2^x = 16. How would you solve each?
Click here to see answer by MathLover1(20849)

Question 961440: I have a page of quadratic equations that just have the letter C for the constant term. How do I solve for x?
Example: x^2 + 6x + C = 0
Click here to see answer by Fombitz(32388)

Question 961440: I have a page of quadratic equations that just have the letter C for the constant term. How do I solve for x?
Example: x^2 + 6x + C = 0
Click here to see answer by josmiceli(19441)

Question 961485: Factor
36t^2x^4-45t^2x^3+24t^2x^2
Click here to see answer by Fombitz(32388)

Question 961525: Hello I need help with my homework. Can you please explain how to solve this word problem
The length of a rectangle is

3 m
less than twice the width, and the area of the rectangle is

65 m^2
. Find the dimensions of the rectangle.
Click here to see answer by MathLover1(20849)

Question 961545: The question is to find all quadratic equations with roots 2+3i and 2-3i. I have actually been given an answer by my teacher, but I wish to find out the logic behind this. My teacher has given me a solution, which is found below.
sum=4=-b/a
Product=4+9=13=c/a
=> a=1, b=-4, c=13
a(x^2-4x+13)=0
So, there it is. I understand how to perform sums like this with square roots and normal integers in the place of i, but I do not understand where to even start with i in the equation, as I have tried the usual method that I use for numbers and roots and the answer I received was incorrect. Any help would be much appreciated.
Click here to see answer by stanbon(75887)

Question 961632: Find the coefficient a,b, & c for quadratic equation y=ax^2+bx+c if graph has a max at (1,8) and passes through (3,0). Is 1,8 my vertex? is c 1/2?
Click here to see answer by josgarithmetic(39616)

Question 961520: Hello I need some help with my homework, I do not know how to solve this equation, can you help me please.
2u^2-21u+55=(u-7)^2
Click here to see answer by Fombitz(32388)

Question 961692: 5x2-40x+35
Click here to see answer by Fombitz(32388)

Question 961539: Ax +by =c and dx+ey=f pls make x and y the subject of the formula
Click here to see answer by Fombitz(32388)

Question 961710: Find the domain of the rational function f(x)= 9x /(x+5)(x+3)
Click here to see answer by Fombitz(32388)

Question 961848: x^2+4x-1=11
Click here to see answer by jim_thompson5910(35256)

Question 961843: Could I please get help with this problem:
"Write each quadratic functions in standard form ()
"
Click here to see answer by josmiceli(19441)

Question 961891: A manufacturer is making a cylindrical can that will hold and dispense flower seeds through small holes in the top of the can. The manufacturer wants the can to have a volume of 42 cubic inches and be 6 inches tall. What should the diameter of the can be? V=πr. Round your answer to the nearest inch.
If possible please show me a step by step process.
Click here to see answer by lwsshak3(11628)

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, 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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