document.write( "Question 892955: Solve the equation. \r
\n" ); document.write( "\n" ); document.write( "Square root sign x +43= x+1\r
\n" ); document.write( "\n" ); document.write( "The solution set is { } \n" ); document.write( "
Algebra.Com's Answer #540979 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Use sqrt for sq roots.
\n" ); document.write( "sqrt(x) + 43 = x+1
\n" ); document.write( "sqrt(x) = x - 42
\n" ); document.write( "Square both sides
\n" ); document.write( "x = x^2 - 84x + 1764
\n" ); document.write( "x^2 - 85x + 1764 = 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-85x%2B1764+=+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=%28-85%29%5E2-4%2A1%2A1764=169\".
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\n" ); document.write( " Discriminant d=169 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--85%2B-sqrt%28+169+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-85%29%2Bsqrt%28+169+%29%29%2F2%5C1+=+49\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-85%29-sqrt%28+169+%29%29%2F2%5C1+=+36\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-85x%2B1764\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-85x%2B1764+=+%28x-49%29%2A%28x-36%29\"
\n" ); document.write( " Again, the answer is: 49, 36.\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-85%2Ax%2B1764+%29\"
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