document.write( "Question 154730: How would I solve this?\r
\n" ); document.write( "\n" ); document.write( "Find all real solutions of each equation.\r
\n" ); document.write( "\n" ); document.write( "Please help me solve this equation: \"+2+sqrt+%28x%5E2%2B3%29=+sqrt+%28-16x-3%29+\"
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Algebra.Com's Answer #113963 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
\"+2+sqrt+%28x%5E2%2B3%29=+sqrt+%28-16x-3%29+\"
\n" ); document.write( "Square both sides
\n" ); document.write( "4*(x^2 + 3) = -16x - 3
\n" ); document.write( "4x^2 + 12 = -16x - 3
\n" ); document.write( "4x^2 + 16x + 15 = 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 \"4x%5E2%2B16x%2B15+=+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=%2816%29%5E2-4%2A4%2A15=16\".
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\n" ); document.write( " Discriminant d=16 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-16%2B-sqrt%28+16+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%2816%29%2Bsqrt%28+16+%29%29%2F2%5C4+=+-1.5\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%2816%29-sqrt%28+16+%29%29%2F2%5C4+=+-2.5\"
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\n" ); document.write( " Quadratic expression \"4x%5E2%2B16x%2B15\" can be factored:
\n" ); document.write( " \"4x%5E2%2B16x%2B15+=+%28x--1.5%29%2A%28x--2.5%29\"
\n" ); document.write( " Again, the answer is: -1.5, -2.5.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B16%2Ax%2B15+%29\"

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