document.write( "Question 472213: 7-sqrt(x2 − 3x)=sqrt((x2 − 3x) + 5)
\n" ); document.write( "Step 1: Assume that we can represent (x2-3x) by u.
\n" ); document.write( "Step 2: Rewrite the equation with u.
\n" ); document.write( "Step 3: Solve the reduced equation given in Step 2 and replace u with the expression given in Step 1.
\n" ); document.write( "Step 4: What are the solutions of the original equation?\r
\n" ); document.write( "\n" ); document.write( "**sqrt=square root \n" ); document.write( "
Algebra.Com's Answer #323795 by ccs2011(207)\"\" \"About 
You can put this solution on YOUR website!
u = \"x%5E2+-+3x\"
\n" ); document.write( "\"7+-+sqrt%28u%29+=+sqrt%28u%2B5%29\"
\n" ); document.write( "Square both sides
\n" ); document.write( "\"49+-14sqrt%28u%29+%2B+u+=+u+%2B+5\"
\n" ); document.write( "Subtract u on both sides
\n" ); document.write( "\"49+-14sqrt%28u%29+=++5\"
\n" ); document.write( "Subtract 49 on both sides
\n" ); document.write( "\"-14sqrt%28u%29+=+-44\"
\n" ); document.write( "Divide by -14 on both sides
\n" ); document.write( "\"sqrt%28u%29+=+22%2F7\"
\n" ); document.write( "Square both sides
\n" ); document.write( "\"u+=+484%2F49+=+9.877\"
\n" ); document.write( "Replace u with equivalent expression
\n" ); document.write( "\"x%5E2+-+3x+=+9.877\"
\n" ); document.write( "Set equation equal to zero
\n" ); document.write( "\"x%5E2+-+3x+-+9.877+=+0\"
\n" ); document.write( "Use quadratic formula to solve for x: \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%283+%2B-+sqrt%289+-+4%28-9.877%29%29%29%2F2\"
\n" ); document.write( "\"x+=+%283+%2B-+sqrt%2848.51%29%29%2F2\"
\n" ); document.write( "\"x+=+%283+%2B-+6.965%29%2F2\"
\n" ); document.write( " \n" ); document.write( "
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