Questions on Algebra: Quadratic Equation answered by real tutors!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> Questions on Algebra: Quadratic Equation answered by real tutors!      Log On


   



Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 89284: The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 65 cm2, find the dimensions of the rectangle to the nearest thousandth.
Hint: Call the width x. Then the length is 5x + 2. Now write your equation and solve.

Click here to see answer by THANApHD(104) About Me 

Question 89262: A triangle has sides 2x – 5, 3x + 1, and 4x + 2. Find the polynomial that represents its perimeter.
Click here to see answer by THANApHD(104) About Me 

Question 89290: Solve
(x-5)^2=7
thanks

Click here to see answer by checkley75(3666) About Me 

Question 89361:
Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89364:
Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89362: Solve by using the quadratic formula.
5x^2 + x = 3

Click here to see answer by jim_thompson5910(35256) About Me 
Question 89362: Solve by using the quadratic formula.
5x^2 + x = 3

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89360: . Multiply. (5x + 9)^2
Click here to see answer by jim_thompson5910(35256) About Me 

Question 89365: Multiply. (a^2 + ab – b^2)(a^2 – 4ab + b^2)
Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89279: Solve by using the quadratic formula.
5x^2 + x = 3

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89273:
Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89269: Multiply. Write in simplest form.

-2a^2b^4/22a^5 X 11b^2/b^6

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89265:
Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89256: Multiply. (5x + 9^)2
Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89236: In his Chemistry class, Darin found a solution of hydrochloric acid that needed to be kept between 20 and 35 C. What is the range in temperature in degrees Fahrenheit if the Celsius/Fahrenheit conversion formula is
C= 5/9 (F-32)

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 89282: Solve by completing the square.
x^2 – 16x + 63 = 0

Click here to see answer by bucky(2189) About Me 

Question 89374: Find the x intercepts
y=x^2-2x+4
Thanks for any help

Click here to see answer by stanbon(75887) About Me 
Question 89374: Find the x intercepts
y=x^2-2x+4
Thanks for any help

Click here to see answer by josmiceli(19441) About Me 

Question 89373: Solve by completing the square.
4x^2+2x-3=0
Thanks for any help.

Click here to see answer by josmiceli(19441) About Me 

Question 89375: solve the quadratic equation by completing the square:
3x^2 - 6x + 2 = 0
3x^2-6x = -2
x^2-2x = -2/3
(1/2 of -2 (the x coefficent) squared is 1; add it to both sides)
x^2-2x + 1 = -2/3 + 1
(x-1)^2 = -5/3
x-1 = +/- radical 5/3
(radical 5/3 = radical 5 over radical 3 multiplied by radical 3 over radical 3)
x-1 = +/- radical 15 over 3
x = 1 +/- radical 15 over 3
but according to the book the answer is 3 +/- radical 3 over 3 - what did i do wrong?

Click here to see answer by stanbon(75887) About Me 

Question 89372: Solve by using the quadratic formula
4x^2-3x+3=0
Having trouble any help appreciated.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 89397: Solve the quadratice equation by completing the square:
x^2 - 6x - 3 = 0
x^2 - 6x = 3
x - 6x + 9 = 3
(x-3)^2 = 3
x - 3 = +/- radical 3
x = 3 +/- radical 3
Is this correct?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 89386: Solve the equation for x:
x^2 + 4x + 4 = 7
(x + 2)(x + 2) = 7
(x + 2)^2 = 7
x + 2 = +/- radical 7
x = -2 +/- radical 7
Is this correct?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 89280: Find the x-intercepts.
y = x^2 – 3x – 1

Click here to see answer by checkley75(3666) About Me 

Question 89408: /Word problem to solve - very confused
Okay here goes!!!
It is a launch of a cannon ball
Cannon ball should have initial vertical velocity of 15 feet per second. the cannon is on a hill that is 10 ft high. Keep in mind that the barrel of teh cannon is 4 ft. off the ground (on the hill) and the cannon ball is launched from the top of the cannon.
Okay - I need to use the following model:
h=-16t^+vt + h
h=height
v=initial vertical velocity (ft per second)
h=inital height (ft)
t-time in motion - (seconds)
I have to find a function that models the path of the cannon ball
Graph of the path
Maximum height of the cannon ball above level ground and
how long after the cannon ball is launched does it reach its max height
i can't believe this - HELP!!!!!!!!!!!!!!!

Click here to see answer by stanbon(75887) About Me 

Question 89281: Solve by completing the square.
x^2 – 16x + 63 = 0

Click here to see answer by bucky(2189) About Me 

Question 89417: A garden area is 30ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^2, what is the width of the path?
No clue how to even come up with equation - please help!

Click here to see answer by stanbon(75887) About Me 

Question 89425: For the quadratic function Q(x)=x^2+5x-36, determine the exact value of the minimum.
Click here to see answer by scott8148(6628) About Me 

Question 89451: Please help me on how to figure out the vertex of the equation 2y=x2(this is x squared)-2x-5.
Click here to see answer by stanbon(75887) About Me 
Question 89451: Please help me on how to figure out the vertex of the equation 2y=x2(this is x squared)-2x-5.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 89453: Please help me on how to figure out the y-intercept of the graph of the equation y=x2 (this is x squared) 6x = 9 and -3/2 (x-6)2 (squared).
Click here to see answer by checkley75(3666) About Me 
Question 89453: Please help me on how to figure out the y-intercept of the graph of the equation y=x2 (this is x squared) 6x = 9 and -3/2 (x-6)2 (squared).
Click here to see answer by stanbon(75887) About Me 

Question 89456: Would someone help me please.
The directions are to divide. x^3+2x^2+x+12/x+3. I have four choices for the answer A)x^2-x+4, B)x^2+x-14, C) x^2-x-4, and D) x^2+x-4.
Please show me step by step how you got this answer, and what method or formula you used to solve? Thank you

Click here to see answer by stanbon(75887) About Me 

Question 89470: Simplify. Express your answer in simplified radical form
sqrt5x/sqrt3

Click here to see answer by stanbon(75887) About Me 

Question 89473: The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 65 cm2, find the dimensions of the rectangle to the nearest thousandth
Hint: Call the width x. Then the length is 5x + 2. Now write your equation and solve.

Click here to see answer by stanbon(75887) About Me 

Question 89460: Solve by using the quadratic formula.
5x^2 + x = 3

Click here to see answer by Edwin McCravy(20054) About Me 

Question 89479: Solve by factoring.
x^2 + 2x – 48 = 0

Click here to see answer by funmath(2933) About Me 

Question 89423: If Corliss invested $100 at an annual rate of 8% compounded continuously, what amount to the nearest cent will be in her account after 2 years?
Click here to see answer by stanbon(75887) About Me 

Question 89506: Solve by completing the square.
x2 – 2x – 15 = 0

Click here to see answer by funmath(2933) About Me 

Question 89492: The height h in feet of an object after t seconds is given by the function
h = –16t^2 + 90t + 3.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth, and explain which solution is the correct one.

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

Question 89471: solve.
sqrt(y+4)=y-8

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

Question 89462: Which two expressions are equivalent? Explain your reasoning.
-sqrt36, sqrt-36, -6

Click here to see answer by stanbon(75887) About Me 

Question 89504: Solve by using the quadratic formula. Express your answer in simplified radical form. x^2 = 3x + 1
Click here to see answer by checkley75(3666) About Me 

Question 89494: Find the x-intercepts. Express your answer as an ordered pair.
y = x^2 – 7x – 10

Click here to see answer by checkley75(3666) About Me 

Question 89551: 2/3x-1/2x+1/3=3

The problem is suppose to read 2 over 3 x square this problem is ins fraction form. I dod not know how to put the exponent on to make it look square.

Click here to see answer by checkley75(3666) 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, 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