SOLUTION: If {{{ (x+k)^2= x^2 +22x+k^2 }}} for all real numbers x, then what does k equal?

SOLUTION: If {{{ (x+k)^2= x^2 +22x+k^2 }}} for all real numbers x, then what does k equal?

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Question 997912: If for all real numbers x, then what does k equal?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If for all real numbers x, then what does k equal?
:
From completing the square procedure we know that k^2 = half the coefficient of x squared.
k^2 = ()^2 = 121
k =
k = 11
:
Check: FOIL(x+11)(x+11) = x^2 + 11x + 11x + 121 = x^2 + 22x + 121
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