10x^2 - 23x +12 = 0
(5x-4)(2x-3) = 0
x = 0.8 or 1.5
2006-12-14 18:51:47
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answer #1
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answered by Carl D 4
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10x^2-23x+12=0
sum=-23
product=120
splitting the middle term such that the sum=-23 and the
product is 120, -23=(-15)+(-8) and 120=(-15)(-8
10x^2-15x-8x+12=0
taking out the common factor
5x(2x-3)-4(2x-3)=0
(2x-3)(5x-4)=0
if the productis zero each productcan be zero
equation 2x-3=0 2x=3 or x=3/2
5x-4=0 5x=4 or x=4/5
so the solutionset={3/2,4/5)
2006-12-14 19:00:02
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answer #2
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answered by raj 7
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10x² - 23x +12 = 0
(2x - 3)(5x - 4) = 0
2x - 3 = 0 or 5x - 4 = 0
x = 3/2 or x = 4/5
2006-12-16 03:23:15
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answer #3
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answered by Ranna Renni 2
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10x^2 - 23x + 12 = 0
10x^2 - 15x - 8x + 12 = 0
5x (2x - 3) - 4 (2x - 3) = 0
(5x - 4)(2x - 3) =0
5x -4 = 0 ...... x = 4/5
or
2x - 3 = 0 ........ x = 3/2
2006-12-14 20:26:51
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answer #4
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answered by Srinivas c 2
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The most straightforward way to solve this is by the quadratic formula.
x = [-b +/- sqrt(b^2 - 4ac)]/2a
x = [23 +/- sqrt(529 - 4(10)(12))]/20
x = [23 +/- sqrt(529 -480)]/20
x = [23 +/- sqrt(49)]/20
x = [23 +/- 7]/20
x = (23 + 7)/20 or (23 - 7)/20
x = 30/20 or 16/20
x = 3/2 or 4/5
2006-12-14 18:55:45
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answer #5
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answered by Puggy 7
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(5x-4)(2x-3) = 0
5x-4 = 0 |OR| 2x-3 = 0
5x = 4 | 2x = 3
x = 4/5 | x = 3/2
= 0.8 | = 1.5
so x = {4/5, 3/2}
as fpr how the factoring is done check this
http://answers.yahoo.com/question/index;_ylt=AtUBNFPmKbDgGEyWoeutE9bsy6IX?qid=20061214231607AAYYeQM&show=7#profile-info-58e7c50ca5a831623ca7f51e058dc238aa
hope it helped
2006-12-14 18:53:06
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answer #6
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answered by looby 2
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h^2+10h=-21 +21 h^2+10h+21=0 (h+7 ) ( h+3 ) h+7=0 h+3=0 h=-7 h=-3 -------------------- 2x^2-7x-9=0 (2x -9 ) (x +a million ) 2x-9=0 x=-a million 2x=9 x=9/2 -------------------- 3m^2-5m=-2 3m^2-5m+2=0 (3m- 2 ) (m-a million) m=2/3 m=a million its no longer ordinary to describe a thank you to do it..
2016-10-14 23:51:22
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answer #7
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answered by ? 4
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Quadratic formula
2006-12-14 18:54:57
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answer #8
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answered by Jaime G 2
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x=1.5 or x=0.8
2006-12-14 18:52:57
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answer #9
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answered by A 150 Days Of Flood 4
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1.5 or 0.8.
2006-12-14 18:52:51
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answer #10
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answered by jytopy 4
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