document.write( "Question 339771: the square of a half of a number diminished by twice the number is equal to 5. find the number. \n" ); document.write( "

Algebra.Com's Answer #243393 by mananth(16946) $\"\"$ $\"About$

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let the number be x
\n" ); document.write( " $\"%28x%2F2%29%5E2-2x=5\"$
\n" ); document.write( " $\"%28x%5E2%2F4%29-2x=5\"$
\n" ); document.write( " $\"%28x%5E2-8x%29%2F4+=+5\"$
\n" ); document.write( " $\"%28x%5E2-8x%29=20\"$
\n" ); document.write( "x^2-8x-20=0
\n" ); document.write( "x^2-10x+2x-20=0
\n" ); document.write( "x(x-10)+2(x-10)=0
\n" ); document.write( "(x-10)(x+2)=0
\n" ); document.write( "number = 10 OR -2 \n" ); document.write( "

\n" );