SOLUTION: THis is a factoring word problem using the principle of zero. The question says "Find two consecutive, negative integers whose product is 156." Could you please help me?

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Question 120413: THis is a factoring word problem using the principle of zero. The question says "Find two consecutive, negative integers whose product is 156." Could you please help me?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
"Find two consecutive, negative integers whose product is 156." Could you please help me?
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Let the 1st be "x"; the 2nd would be "x+1".
EQUATION:
x(x+1) = 156
x^2+x-156 = 0
x = [-1 +- sqrt(1-4*1*-156)]/2
x = [-1 +- sqrt(625)]/2
x = [-1 +- 25]/2
Negative soution:
x = (-1-25)/2 = -13 (1st negative integer)
x+1 = -12 (2nd negative integer)
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Cheers,
Stan H.