Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 5324: could someone help me factor this. I'm horrible with factoring!
x^2-12x+27
( x )( x )
-12x 1,12 2,6 3,4
27 1,27 3,9

Click here to see answer by arunpaul(104)

Question 5341: How do I factor this polynomial? If it can't be factored please write "prime".
Click here to see answer by rapaljer(4671)

Question 5357: I am having trouble understanding how to use the Perfect Square Trinomial Formula. my problem is:
9(x-3)^2-24(x-3)+16
I really don't even know where to begin. I have the formula:
a^2+2ab+b^2=(a+b)^2
a^2-2ab+b^2=(a-b)^2
Where do I go from here?
Click here to see answer by longjonsilver(2297)

Question 5290: 6x^2-25=0
Click here to see answer by Abbey(339)

Question 5526: Which of the following are the factors of 4b^2-16?
Click here to see answer by Abbey(339)

Question 5528: q^3-q^2+2q-2?
Click here to see answer by Abbey(339)

Question 5525: Which of the following are the factors of x^3+3x^2?
Click here to see answer by Abbey(339)

Question 5529: Which of the following t^4-81?
Click here to see answer by Abbey(339)

Question 5527: Which of the following are the factors of m^2-14m+48?
Click here to see answer by Abbey(339)

Question 5524: What is the greatest common factor of the terms 14c^2 and 42c^3 d?
Click here to see answer by Abbey(339)

Question 5523: Which of the following is the greatest common factor of the terms 48s^5 t^3 u^2 and 40s^3 tu^4^?
Click here to see answer by Abbey(339)

Question 5535: The hypotenuse of a right triangle is 26 feet long. One leg of the triangle is 14 feet longer than the other leg. Find the legnths of the legs of the triangle.
Click here to see answer by CharStar(110)

Question 5532: Which of the following are the factors of x^3+3x^2?
Click here to see answer by Abbey(339)

Question 5531: Which of the following is one of the two biomial factors of 6s^2+40s-64?
Click here to see answer by Abbey(339)

Question 5543: Which of the following are the factors of X^3 + 3X^2?
Click here to see answer by Abbey(339)

Question 5534: What is the discriminate in the quadratic equation x^2+11x+121=x+96?
Click here to see answer by Abbey(339)

Question 5544: What is the discriminant in the quadratic equation X^2+ 11X +121=X + 96?
Click here to see answer by Abbey(339)

Question 5545: Use the discriminat to determine how many real number solutions the quadratic equation -4j^2 + 3j-28=0 has
Click here to see answer by Abbey(339)

Question 5419: Why do you factor a quadratic equation before you solve it?
When solving a rational equation, why is it ok to remove the denominator by multiplying both sides by the LCD?
Why can you not do the same operation when simplifying a rational expression?
Click here to see answer by longjonsilver(2297)

Question 5429: I was womdering if you could explain how to answer 3 problems:
1) x^2+x>0
2) x+3<-2/x
3) y=x^2+4x+1
Please explain each step so that I can use these are sample and model problems.
Thanks,
Char
Click here to see answer by longjonsilver(2297)

Question 5533: What is the discriminant to determine how many real number solutions the quadratic equation -4j^2+3j-28=0 has
Click here to see answer by Abbey(339)

Question 5442: 12x2+4x-10
Click here to see answer by longjonsilver(2297)

Question 5550: the length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters. What is the length and width of the rectangle?
Click here to see answer by prince_abubu(198)

Question 5684: I am stuck on this and keep thinking in circles. I would really appreciate your help. Here is the question that we are to use quadratic equations to solve.
She rows 12km upstream and 12 km downstream in 3hrs. The speed of her boat in still water is 9km/hr. find the speed of the stream.
This is what I have come up with so far. r= d/t

Upstream
d=12
r= x-9
t=
Downstream
d=12
r= x+9
t=
I'm not sure how to put all the information together to solve. I tried
12/(x-9) + 12/(x+9)= 3
Please help!
Click here to see answer by prince_abubu(198)

Question 5771: I am having trouble with this graphing homework, Please help, My question is this Rewrite the equation 4x+4y=20 in slope intercept form? Please help me if you can, it will be greatly appreciated!
Click here to see answer by prince_abubu(198)

Question 5770: I am having trouble with my graphing and could really use some help, My question is In the ordered pair(12,-7)? Please can you help me?
Click here to see answer by AnlytcPhil(1806)

Question 5835: We are doing Jacob's Algebra at home.
We are on Lesson 3 in Chapter 15
Set III Question 9 c
Here is what we have tried for days!
2x/x+5 - 3/x-2 = 1
First we multiplied both sides by (x+5)(x-2) to get
2x^2-4x-3x+15=(x+5) (x-2)
2x^2-7x+15 = x^2=5x-2x-10
x^2-10x+25=0
When we did the quadratic formula to get the answer we got the answer of just 5
but the answer in the book is
10.48 and -.48
So then we tried
multiplying each side by (x^2 +10)
(we weren't sure if we should maybe do (x^2 - 10), which could also work)
and we got these answers 4.52 and -5.52
which are also wrong!
Please let us know what to multiply by to get the right answer!
Thanks!
We will be checking all the time for your response! Thanks so much!
Julie Cochran
julie-cochran@earthlink.net
Click here to see answer by ichudov(507)

Question 5791: I am trying to re-write the following formula into a quadratic equtation and I seemed lost.

((48/n)+3)(n-2)= ((48/n)+3)(n-2)-48
Click here to see answer by ichudov(507)

Question 5849:
Click here to see answer by ichudov(507)

Question 5863: Okay I think I wrote the problem correctly this time. I need help converting this to a quadratic equation:
(3+48/N)*(N-2)-48=22
Any help would be appreciated
Thanks again

Bob
Click here to see answer by longjonsilver(2297)

Question 5847: My question is
I know how to start it ..
.... but now what do I do with the 53?
If I move it on the other side then do I multiply it with or what??
After that step I would get
I did not get any further..
PLEASE HELP ME SOLVE THE REST
Thank-you!
Click here to see answer by longjonsilver(2297)

Question 5848: Hi..
Im stuck on a problem
I see that I could get somewhere with that because 5 can go into 10 2 times, so something with that but I just dont know how to start.
Please Help Me
THANK-YOU.
xoxo
Melissa
Click here to see answer by longjonsilver(2297)

Question 5844: I need help with this problem
I seriously don't even know how to start!!
I need to get the points (h,k) from it and what it is..
I alredy know its not a circle, I dont think its an ellipse...
Please HELP me ASAP..
Click here to see answer by longjonsilver(2297)

Question 5843: how do i solve this problem?
[(x^2/x^4*x^5)^2/x^11*x^4)^2]^4/[(x+x^1/x^2*x^3)^4/(x^0/x^1*x^2/x^3)^5]^2-
Click here to see answer by longjonsilver(2297)

Question 5886: Factor 3y^2-8y+4
I am using the decomposition method. I am only stuck on step 6 of the question...the two factors.
This is what I have so far...
-6, -2
3y^2-6y-2y+4
3y(y-2)-2(y-2)
...the answer book says that the two factors are:
(3y-2) (y-2)
Why is this so?
Click here to see answer by Abbey(339)

Question 5897: what is the quadratic formula?
Click here to see answer by longjonsilver(2297)

Question 5898: How do you compute the intercept of a quadratic function?
Click here to see answer by longjonsilver(2297)

Question 5906: Can someone tell me if I am right? A line in the Cartesian plane passes through the points(-2, 4) and (2, -1). What are the rise and the run of the line? Is the rise -5 and the run 4? Please, let me know if I am on the right track.
Click here to see answer by Abbey(339)

Question 5908: If the slope of a line is 2 and it's y-intercept is 5, what is the equation of the line? I have already tried this question on a test and gotten it wrong, can someone help me figure it out? Please?
Click here to see answer by Abbey(339)

Question 5907: Can someone tell me if this is right? What is the slope of the line that has the equation 4x + 2y =12? Is the right answer 2????? Please let me know?
Click here to see answer by Abbey(339)

Question 5905: What is the slope-intercept form of the equation of the line shown in the graph? Coordinates are (3,0) and (0, -4)???? Can someone help me?
Click here to see answer by Abbey(339)

Question 5904: I need to know if I have this question right or not, In the ordered pair(12,-7) ? Is the the abscissa 12 and the ordinate -7? Please tell me if I am right or not, please.
Click here to see answer by Abbey(339)

Question 5554: find the possible value or values of r in the quadratic equation r^2-7r-8=0.
Click here to see answer by ichudov(507)

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