document.write( "Question 937033: given that y^2+10y+k is a perfect square trinomial, find the value of k. \n" ); document.write( "

Algebra.Com's Answer #570478 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"y%5E2%2B10y%2Bk\"$ is a perfect square trinomial, \r
\n" ); document.write( "\n" ); document.write( "to find the value of $\"k\"$ use $\"10y\"$ and recall the rule $\"%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2\"$ ; so,in $\"10y\"$ we know that $\"b=y\"$ and $\"2a=10\"$ => $\"a=5%29%0D%0A%0D%0Ausing+that+we+have+%0D%0A+%7B%7B%7B%28y%5E2%2B10y%2B_%29-_%2Bk\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y%5E2%2B10y%2B5%5E2%29-25%2Bk\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y%2B5%29%5E2-25%2Bk\"$ ...=> to have a perfect square trinomial $\"k\"$ must be $\"25\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y%2B5%29%5E2-25%2B25\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y%2B5%29%5E2\"$ \r
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