document.write( "Question 997912: If $\"+%28x%2Bk%29%5E2=+x%5E2+%2B22x%2Bk%5E2+\"$ for all real numbers x, then what does k equal? \n" ); document.write( "

Algebra.Com's Answer #615846 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If $\"+%28x%2Bk%29%5E2=+x%5E2+%2B22x%2Bk%5E2+\"$ for all real numbers x, then what does k equal?
\n" ); document.write( ":
\n" ); document.write( "From completing the square procedure we know that k^2 = half the coefficient of x squared.
\n" ); document.write( "k^2 = ( $\"22%2F2\"$ )^2 = 121
\n" ); document.write( "k = $\"sqrt%28121%29\"$
\n" ); document.write( "k = 11
\n" ); document.write( ":
\n" ); document.write( "Check: FOIL(x+11)(x+11) = x^2 + 11x + 11x + 121 = x^2 + 22x + 121 \n" ); document.write( "

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