document.write( "Question 138239: k*x^2 = 2*m*g*(h+x)
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Algebra.Com's Answer #100973 by solver91311(24713) $\"\"$ $\"About$

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$\"kx%5E2=2mg%28h%2Bx%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"kx%5E2=2mgh%2B2mgx\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"kx%5E2-2mgx-2mgh=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ , where $\"a=k\"$ , $\"b=2mg\"$ , and $\"c=2mgh\"$ , so:\r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-2mg+%2B-+sqrt%28+%282mg%29%5E2-4%28k%29%282mgh%29+%29%29%2F%282%28k%29%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-2mg+%2B-+sqrt%284m%5E2g%5E2-8kmgh%29%29%2F%282k%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-2mg+%2B-+2sqrt%28m%5E2g%5E2-2kmgh%29%29%2F%282k%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-mg+%2B-+sqrt%28m%5E2g%5E2-2kmgh%29%29%2Fk\"$ \n" ); document.write( "

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