SOLUTION: Find all positive values for k for which the following can be factored. x squared + x - k

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all positive values for k for which the following can be factored. x squared + x - k      Log On


   

Question 114516: Find all positive values for k for which the following can be factored.

x squared + x - k
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X^2+X-K
ANY K THAT HAS 2 FACTORS (X*Y) THAT MEET THE REQUIREMENTS OF (X-Y=1).
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X^2+X-2 K=2
(X+2)(X-1)
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X^2+X-6 K=6
(X+3)(X-2)
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X^2+X-12 K=12
(X+4)(X-3)
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X^2+X-20 K=20
(X+5)(X-4)
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X^2+X-30 K=30
(X+6)(X-5)
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X^2+X-42 K=42
(X+7)(X-6)