document.write( "Question 979430: p+(1/4)*p^(1/2)+K^2=0, What is the value of k to make perfect square...? \n" ); document.write( "

Algebra.Com's Answer #600699 by anand429(138) $\"\"$ $\"About$

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$\"p%2B%281%2F4%29%2Ap%5E%281%2F2%29%2BK%5E2=0\"$
\n" ); document.write( "=> $\"p%2BK%5E2=-%281%2F4%29%2Ap%5E%281%2F2%29\"$
\n" ); document.write( "=> $\"4p%2B4K%5E2+=+-p%5E%281%2F2%29\"$
\n" ); document.write( "Squaring both sides,
\n" ); document.write( " $\"16p%5E2%2B16K%5E4%2B32pk%5E2+=+p\"$
\n" ); document.write( "=> $\"16p%5E2%2B%2832K%5E2-1%29p%2B16K%5E4+=+0\"$
\n" ); document.write( "For perfect square, Discriminant=0
\n" ); document.write( " $\"%2832K%5E2-1%29%5E2-4%2A16%2A16K%5E4+=+0\"$
\n" ); document.write( "=> $\"1024K%5E4-64K%5E2%2B1-1024K%5E4=0\"$
\n" ); document.write( "=> $\"K%5E2=+1%2F64\"$
\n" ); document.write( "=> $\"K=1%2F8\"$ \n" ); document.write( "

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