document.write( "Question 788114: h^2+28h-3=0 \n" ); document.write( "

Algebra.Com's Answer #478429 by KMST(5328) $\"\"$ $\"About$

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I see two ways to solve $\"h%5E2%2B28h-3=0\"$ .
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\n" ); document.write( "COMPLETING THE SQUARE:
\n" ); document.write( " $\"h%5E2%2B28h-3=0\"$
\n" ); document.write( " $\"h%5E2%2B28h=3\"$
\n" ); document.write( "Here we notice that $\"h%5E2%2B28h\"$ is part of $\"h%5E2%2B28h%2B196=h%5E2%2B28h%2B14%5E2=%28h%2B14%29%5E2\"$
\n" ); document.write( " $\"h%5E2%2B28h%2B196=3%2B196\"$
\n" ); document.write( " $\"%28h%2B14%29%5E2=199\"$
\n" ); document.write( "So $\"h%2B14=sqrt%28199%29\"$ or $\"h%2B14=sqrt%28199%29\"$ ,
\n" ); document.write( "which can be summarized as
\n" ); document.write( " $\"h=-14+%2B-+sqrt%28199%29\"$
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\n" ); document.write( "APPLYING THE QUADRATIC FORMULA:
\n" ); document.write( "An equation of the form $\"ax%5E2%2Bbx%2Bc=0\"$ has solutions given by
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "as long as $\"b%5E2-4%2Aa%2Ac%3E=0\"$ (because otherwise $\"sqrt%28+b%5E2-4%2Aa%2Ac%29\"$ does not exist).
\n" ); document.write( "In the case of $\"h%5E2%2B28h-3=0\"$
\n" ); document.write( " $\"x=h\"$ , $\"a=1\"$ , $\"b=28\"$ , and $\"c=-3\"$ , so
\n" ); document.write( " $\"x+=+%28-28+%2B-+sqrt%28+28%5E2-4%2A1%2A%28-3%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%28-28+%2B-+sqrt%28784%2B12+%29%29%2F2+\"$
\n" ); document.write( " $\"x+=+%28-28+%2B-+sqrt%28796%29%29%2F2+\"$
\n" ); document.write( " $\"x+=+%28-28+%2B-+sqrt%284%2A199%29%29%2F2+\"$
\n" ); document.write( " $\"x+=+%28-28+%2B-+sqrt%284%29%2Asqrt%28199%29%29%2F2+\"$
\n" ); document.write( " $\"x+=+%28-28+%2B-+2sqrt%28199%29%29%2F2+\"$
\n" ); document.write( " $\"x+=+-14+%2B-+sqrt%28199%29+\"$
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