SOLUTION: Quadratic word problem: Find three consecutive integers such that the product of the two smaller numbers minus the square of the largest is equal to -22

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Question 438227: Quadratic word problem:
Find three consecutive integers such that the product of the two smaller numbers minus the square of the largest is equal to -22

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x%28x%2B1%29+-+%28x+%2B+2%29%5E2+=+-22
==> x%5E2+%2B+x+-+x%5E2+-+4x+-+4+=+-22
==> -3x - 4 = -22
==> -3x = -18
==> x = 6
Hence the consecutive integers are 6, 7, 8.