What factors of 40 could add together to get 14? (10 and 4)
So...
(x - 10)(x - 4) = 0
now set each piece equal to zero and solve.
x - 10 = 0
so x = 10
x - 4 = 0
so x = 4
2007-04-26 02:54:35
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answer #1
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answered by Mathematica 7
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x^2 - 14x + 40 = 0
Steps:
1. Split the middle term:
x^2 - 10x- 4x = 0
2.Find common factors in the first 2 & last 2 equations:
x(x-10) - 4(x-10) = 0
3.Hence:
(x-4)*(x-10) ---->> * means multiply.....
4.Find x value
x-4=0
Hence x=4
Also,
x-10=0
hence x=10
5.In the equation put x as 10 or 4 & u will get answer as 0.
Like, x^2-14x+40=0
Taking x=4
(4)^2 - 14*4 +40 = 0
Hence,
16 - 56 + 40 = 0
Hence 0=0.
Now,Taking x=10
(10)^2 - 14*10 +40 = 0
Hence,
100 - 140 + 40 = 0
Hence 0=0.
Therefore x=4 & x=10
VERIFIED!
2007-04-26 10:06:11
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answer #2
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answered by krsrinath2 2
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14
2007-04-26 10:29:39
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answer #3
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answered by kishor0m 1
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(-10 ). (-4 )= +40
(-10 )+(-4) = -14
x = -10 V -4
2007-04-26 09:56:09
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answer #4
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answered by foryou2002tr 2
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x^2-14x+40=0
or x^2-10x-4x+40=0
or (x-10)(x-4)=0
or x=10,4
2007-04-26 09:56:07
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answer #5
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answered by sargy 1
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x^2-14x+40=0
(x-4)(x-10)=0
x-4=0
x=4
x-10=0
x=10
x={4, 10}
2007-04-26 09:55:45
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answer #6
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answered by iyiogrenci 6
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You need two numbers that multiply to +40 and add to -14
These are -10 and -4
So: (x-10) (x-4) = 0
x = 10,4
2007-04-26 09:55:03
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answer #7
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answered by welcome news 6
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(x-10)(x-4)=0 therefore x=10, 4
2007-04-26 09:54:48
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answer #8
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answered by ? 2
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Okay, so I assume we must find x, right?
x^2-14x+40=0
^ ........^
^ ........^
^ ........^
Thar they be!
2007-04-26 09:59:51
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answer #9
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answered by Nemesis 5
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