document.write( "Question 629623: k^2+5k=2 \n" ); document.write( "

Algebra.Com's Answer #396366 by 55305(86) $\"\"$ $\"About$

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To solve for k, lets complete the square.
\n" ); document.write( "Add (b/2a)^2 to each side:
\n" ); document.write( "k^2+5k+(5/4)^2= 2+(5/4)^2
\n" ); document.write( "k^2+5k+25/16= 57/16
\n" ); document.write( "Factor:
\n" ); document.write( "(k+5/4)^2= 57/16
\n" ); document.write( "Take the square root of each side:
\n" ); document.write( " $\"k%2B5%2F4=+sqrt%2857%29%2F%284%29\"$
\n" ); document.write( "Subtract 5/4 from each side to find k:
\n" ); document.write( " $\"k=+sqrt%2857%29%2F%284%29-5%2F%284%29\"$ \n" ); document.write( "

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