Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 118583: 4x +8/6x+18 times 5x+15/x^2-4
Click here to see answer by jim_thompson5910(35256)

Question 118551: Simplify the expression.
1a) square root of 54
1b)square root of 72
1c) square root of 5/9
1d) square root of 7/36
1e) square root of 9/11
1f)square root of 9/25
Click here to see answer by jim_thompson5910(35256)

Question 118637: The graph of a quadratic function f is the graph of y=-2x^2 translated 4 units to the left and 6 units down. What is the equation of function f?
Click here to see answer by stanbon(75887)

Question 118639: The perimeter of a rectangle is 100 feet. Let x represent the width of the rectangle and write a quadratic function that expressed the area of the rectangle in terms of its width.
Click here to see answer by ilana(307)

Question 118582: x^2 + 6x +5/9y^2 times 3y/x+1

Click here to see answer by MathLover1(20849)

Question 118651: One number is 10 greater than the other number. Find the two numbers such that their product is a minimum. What is the product?
Click here to see answer by Fombitz(32388)

Question 118654: What term in the sequence (1.6,1.2,0.8,0.4,...) is -38.4 ? I guessed 99 but was marked wrong . I don't know how to do this , please help me :)
Click here to see answer by Fombitz(32388)

Question 118650: A 4 by 6 inch photograph is to be matted such that the area of the mat is double the area of the photo. Assuming that the mat is the same width all around the picture,what is the width of the mat ?
I tried (4-2x)(6-2x) and ended up with (x+4)(x-3)=0 and said witdth of mat was 3 inches but lost marks :( Can anyone explain this problem to me ?

Click here to see answer by checkley71(8403)

Question 118655: What are all possible values of b if 2x^2 +bx= -8 has a discriminant of -15 ? I said 7 but I got it wrong. I don't know how to solve this , can someone please help me ?
Click here to see answer by ankor@dixie-net.com(22740)

Question 118649: A theatre seats 500 people per show and is currently sold out with a ticket price of $16. A survey shows that for every $2 per ticket price increase, 25 fewer tickets will be sold.Write a function to model this situation and use this function to determine the ticket price that will result in the greatest revenue per show.
I tried (25x-500)(2x-16)=0
50x^2-400x-1000x+8000
x^2-28+150
x=-b/a=28/2=$14
BUT lost several marks :( Can anyone tell me why :)
Click here to see answer by Edwin McCravy(20054)

Question 118581: a(a-b)^2/4b times 4b/a(a^2 -b^2 )
Click here to see answer by MathLover1(20849)

Question 118664: explain why a^0 =1 for any nonzero value of a.
Click here to see answer by jim_thompson5910(35256)

Question 118664: explain why a^0 =1 for any nonzero value of a.
Click here to see answer by scott8148(6628)

Question 118443: What is the transformational form of y= -1/3x^2+3x-1 ?
I got -3(y+23/4) =(x+9/2)^2 It was marked wrong :(
Click here to see answer by MathLover1(20849)

Question 118550: sketch the graph of the function. label the coordinates of the vertex. make sure to make your x & y table. then plot the points on the graph.
1) y=-x^2-4x+2

solve the equation algebraically. check your solution by graphing. make sure to use an x &y table.
2)x^2-4=12
Click here to see answer by ankor@dixie-net.com(22740)

Question 118578: 2B(3-B?)/B^2-9
Click here to see answer by MathLover1(20849)

Question 118719:
A right-angled triangle has a perimeter of 120cm. If the hypoteneuse is 50cm, find the length of the other two sides.
Click here to see answer by checkley71(8403)

Question 118718: A square swimming pool with a side measuring 16m is to be surrounded with a uniform rubberized floor covering of width x. If the area of the floor covering equals the area of the pool, find the width of the rubberized covering.
Click here to see answer by checkley71(8403)

Question 118736: Please help to solve this problem. 3x^2 + x - 0 =
Thanking you
Click here to see answer by jim_thompson5910(35256)

Question 118752: Please help with this problem 3x^2 + x -4 = 0 What is the solution set ?
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 118762: Please help me to solve this equation
3x^2 - 2x = 15x - 10
Click here to see answer by ilana(307)

Question 118762: Please help me to solve this equation
3x^2 - 2x = 15x - 10
Click here to see answer by MathLover1(20849)

Question 118765: Find the root(s) of x-2/x-4 + 2= 2x+3/5
Can someone please tell me why I lost marks :(
I Did : 5(x-2)+2(x-4)=(2x+3)(x-4)
5x-10+2x-8=2x^2-8x+3x-12
7x-18=2x62-5x-12
7x-18+-2x^2+5x+12=0
12x-6+-2x^2=0
x^2+-6x+3=0
Then I used the quadratic formula and got:
x=6+-2sqrt6/2
x=3=-sqrt6

Click here to see answer by jim_thompson5910(35256)

Question 118768:
A picture measuring 40cm by 60cm is surrounded by a frame of uniform width. If the area of the frame equals the area of the picture,then what is the width of the frame ?
Please help me :)
Click here to see answer by checkley71(8403)

Question 118779: I have no text book. I stand on a building, 96 feet high. I throw a ball upward at an initial velocity of 80 feet per second. How long will it take for the ball to reach me and how long will it take for the ball to reach the ground?
Click here to see answer by ankor@dixie-net.com(22740)

Question 118818: What is the discriminant of (3x+2)x=4-2x? I think the answer is 64 but I need an explaination . Please help me :)
Click here to see answer by ilana(307)

Question 118816: What are the values o k which will give 4x^2+(k+7)x+(k+4)=0 equal,real roots? Please help me?
Click here to see answer by ilana(307)

Question 118821: In the geometric sequence the first three terms are ( 5x-8,3x,2x+2,...).What is the value of x ? Please help me :)
Click here to see answer by Earlsdon(6294)

Question 118817: What function has x-intercepts -2/7 and 5/3 ? I think the answer is y=21x^2-29x-10 but I'm really not sure if I know what I'm doing. Can someone please explain it to me? Thanks.
Click here to see answer by Earlsdon(6294)

Question 118837:
Pat has a garden next to her house with the dimensions 3m by 10m. She wants to double the area of her garden by digging a border of even width around three of its sides. How wide of a border should she dig
Click here to see answer by checkley71(8403)

Question 118843: A 14 foot ladder leans against the side of a house. How high does the ladder reach if the distance between the bottom of the ladder and the house is 11 feet less then the distance between the top of the ladder and the ground.
Click here to see answer by checkley71(8403)

Question 118786: driving down a mountain, tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Click here to see answer by checkley71(8403)

Question 118849: xy+10x-4y-40 factor by grouping

Click here to see answer by jim_thompson5910(35256)

Question 118862: What are the procedures to write a quadratic equation in vertex form?
Click here to see answer by MathLover1(20849)

Question 118862: What are the procedures to write a quadratic equation in vertex form?
Click here to see answer by Edwin McCravy(20054)

Question 118819: Given the quadratic equation x^2-15=2k(x-4),find k if there are two real and equal roots. I got k=5 and k=3 but I would appreciate it if someone could explain it in detail to me :) Thanks.
Click here to see answer by scott8148(6628)

Question 118938: kindly help me with this problem regarding quadratic equation - factoring method:
8x^2 = 3x
Click here to see answer by HyperBrain(694)

Question 118925: I have plugged this one into the solver and that confused me even more.
Solve by completing the square:
x^2 + 8x + 13 = 0
I get to (x+4)^2 =3 and then I hit a wall.
Please help!!
You guys are great and thank you in adavnce for your help.
Click here to see answer by tutor_paul(519)

Question 118942: If the first three terms of an arithmetic sequence are (2x+1,4x+2,10x-1,...), what is the value of x? Please can someone explain ? I think the answer is 1 but I don't really understand this question.
Click here to see answer by mayank(15)

Question 118944: What function best describes the sequence ( 7,-1,-9,-17,...)? I think it is tn= -8n+1 but I'm not sure . Can someone please explain this to me? Thanks.
Click here to see answer by mayank(15)

Question 118943: A quadratic function has a vertex at (-3,4) and a y-intercept at 1. What is the vertical stretch factor ? I'm guessing 1/3 or 3 but I'm not sure :( Please help me :)
Click here to see answer by MathLover1(20849)

Question 118963: x squared - 5x + c =0
How do you find "c"? I attempted factoring the left side, but my efforts amounted to nothing? I'm confused. Please help?
Click here to see answer by checkley71(8403)

Question 118945: A group of students decide to buy a Christmas gift for their math teacher. They agree to share the $32 cost equally. Unfortunately,3 students must back out at the last minute, thus increasing each person's share by $2.40. How many students contributed to the gift ? Write the equation and solve.
I wrote 32/x - 32/x-3 =2.40 but I'm not sure, can someone please explain this in detail to me ? Thanks :)
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