SOLUTION: A number is 6 less its square. Find all such numbers.

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Question 349226: A number is 6 less its square. Find all such numbers.
Found 2 solutions by solver91311, Fombitz:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number. Then:



Which is to say:



Factor and solve the quadratic for both values of .

John

My calculator said it, I believe it, that settles it
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Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N=N%5E2-6
N%5E2-N-6=0
%28N-3%29%28N%2B2%29=0
Two solutions:
N-3=0
highlight%28N=3%29
.
.
.
N%2B2=0
highlight%28N=-2%29