document.write( "Question 874572: $\"+x%5E2-2x-3=+sqrt%28+4+%29+\"$ .\r
\n" ); document.write( "\n" ); document.write( "I tried my best to do this but i cant figure this one out can you please help me. \n" ); document.write( "

Algebra.Com's Answer #527579 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+x%5E2-2x-3=+sqrt%28+4+%29+\"$
\n" ); document.write( " $\"+x%5E2-2x-3=+2\"$
\n" ); document.write( " $\"+x%5E2-2x-5=+0\"$
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"1x%5E2%2B-2x%2B-5+=+0\"$ ) has the following solutons:
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\n" ); document.write( " $\"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"$
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\n" ); document.write( " For these solutions to exist, the discriminant $\"b%5E2-4ac\"$ should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%28-2%29%5E2-4%2A1%2A-5=24\"$ .
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\n" ); document.write( " Discriminant d=24 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28--2%2B-sqrt%28+24+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%28-2%29%2Bsqrt%28+24+%29%29%2F2%5C1+=+3.44948974278318\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%28-2%29-sqrt%28+24+%29%29%2F2%5C1+=+-1.44948974278318\"$
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\n" ); document.write( " Quadratic expression $\"1x%5E2%2B-2x%2B-5\"$ can be factored:
\n" ); document.write( " $\"1x%5E2%2B-2x%2B-5+=+%28x-3.44948974278318%29%2A%28x--1.44948974278318%29\"$
\n" ); document.write( " Again, the answer is: 3.44948974278318, -1.44948974278318.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-2%2Ax%2B-5+%29\"$

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\n" ); document.write( " $\"+x%5E2-2x-3=+-2\"$
\n" ); document.write( " $\"+x%5E2-2x-1+=+0\"$
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"1x%5E2%2B-2x%2B-1+=+0\"$ ) has the following solutons:
\n" ); document.write( "
\n" ); document.write( " $\"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"$
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant $\"b%5E2-4ac\"$ should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%28-2%29%5E2-4%2A1%2A-1=8\"$ .
\n" ); document.write( "
\n" ); document.write( " Discriminant d=8 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28--2%2B-sqrt%28+8+%29%29%2F2%5Ca\"$ .
\n" ); document.write( "
\n" ); document.write( " $\"x%5B1%5D+=+%28-%28-2%29%2Bsqrt%28+8+%29%29%2F2%5C1+=+2.41421356237309\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%28-2%29-sqrt%28+8+%29%29%2F2%5C1+=+-0.414213562373095\"$
\n" ); document.write( "
\n" ); document.write( " Quadratic expression $\"1x%5E2%2B-2x%2B-1\"$ can be factored:
\n" ); document.write( " $\"1x%5E2%2B-2x%2B-1+=+%28x-2.41421356237309%29%2A%28x--0.414213562373095%29\"$
\n" ); document.write( " Again, the answer is: 2.41421356237309, -0.414213562373095.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-2%2Ax%2B-1+%29\"$

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\n" ); document.write( "Check all the solutions, make sure they're not extraneous.
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