document.write( "Question 246241: solve.
\n" ); document.write( "log(x^2+3)=log(x+6) \n" ); document.write( "
Algebra.Com's Answer #179870 by edjones(8007)\"\" \"About 
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log(x^2+3)=log(x+6)
\n" ); document.write( "10^log(x^2+3)=10^log(x+6)
\n" ); document.write( "x^2+3=x+6
\n" ); document.write( "x^2-x-3=0
\n" ); document.write( "x=(1+sqrt(13))/2, x=(1-sqrt(13))/2
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\n" ); document.write( "Ed
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B-1x%2B-3+=+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=%28-1%29%5E2-4%2A1%2A-3=13\".
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\n" ); document.write( " Discriminant d=13 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--1%2B-sqrt%28+13+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-1%29%2Bsqrt%28+13+%29%29%2F2%5C1+=+2.30277563773199\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-1%29-sqrt%28+13+%29%29%2F2%5C1+=+-1.30277563773199\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-1x%2B-3\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-1x%2B-3+=+1%28x-2.30277563773199%29%2A%28x--1.30277563773199%29\"
\n" ); document.write( " Again, the answer is: 2.30277563773199, -1.30277563773199.\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-1%2Ax%2B-3+%29\"
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