document.write( "Question 25593: PLEASE HELP ME SOLVE THIS PROBLEM. (x2+5) = x+3 The answer is -2/3 but I don't know how to arrive at this. I worked for several hours on this but had no luck. \n" ); document.write( "
Algebra.Com's Answer #13723 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I'm going to assume your x2 means x^2.
\n" ); document.write( "You have x^2+5=x+3
\n" ); document.write( "x^2-x+2=0
\n" ); document.write( "Now use the quadratic formula:
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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%2B2+=+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%2A2=-7\".
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\n" ); document.write( " The discriminant -7 is less than zero. That means that there are no solutions among real numbers.

\n" ); document.write( " If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

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\n" ); document.write( " In the field of imaginary numbers, the square root of -7 is + or - \"sqrt%28+7%29+=+2.64575131106459\".
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\n" ); document.write( " The solution is
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\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%2B2+%29\"

\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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