SOLUTION: how will you factor 2x^2-178x-14280=0 (2x ) (x ) << I cant find the factors

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Question 155822: how will you factor 2x^2-178x-14280=0
(2x ) (x ) << I cant find the factors

Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
how will you factor 2x^2-178x-14280=0
(2x ) (x ) << I cant find the factors
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(x-140)(2x+102)
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How to do these?
Consider b^2-4ac = 178^2-4*2*-14280 = 145924
Take the sqrt to get 382
Add -b = 178 to get 560
Divide by 2a = 4 to get 140
So, one of the factors is (x-140)
Divide 14280 by 140 to get 102
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The other factor must be 2x+102
Check it out to see if it is correct.
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Cheers,
Stan H.