document.write( "Question 84870: Find the value of c such that z^2 + 10z + c is a perfect square. \n" ); document.write( "

Algebra.Com's Answer #61145 by jim_thompson5910(35256) $\"\"$ $\"About$

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To find c, simply take half of 10 and square it like this:\r
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\n" ); document.write( "\n" ); document.write( " $\"c=%2810%2F2%29%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"c=5%5E2=25\"$ \r
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\n" ); document.write( "\n" ); document.write( "So c=25. Notice if we have\r
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\n" ); document.write( "\n" ); document.write( " $\"z%5E2+%2B+10z+%2B+25\"$ it factors to \r
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\n" ); document.write( "\n" ); document.write( " $\"%28z%2B5%29%5E2\"$ which shows it's a perfect square. \n" ); document.write( "

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