document.write( "Question 320015: I have tried to solve the equations many times, each time I come up with a different answer, Please help me with a step-by-step guide.
\n" ); document.write( "(x-3)^2+(x+2)^2=17 \n" ); document.write( "

Algebra.Com's Answer #229189 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"%28x-3%29%5E2%2B%28x%2B2%29%5E2+=+17\"$ Expand the two terms in parentheses.
\n" ); document.write( " $\"%28x%5E2-6x%2B9%29%2B%28x%5E2%2B4x%2B4%29+=+17\"$ Simplify the left side.
\n" ); document.write( " $\"2x%5E2-2x%2B13+=+17\"$ Subtract 17 from both sides.
\n" ); document.write( " $\"2x%5E2-2x-4+=+0\"$ Factor 2 from the left side.
\n" ); document.write( " $\"2%28x%5E2-x-2%29+=+0\"$ Apply the zero product rule.
\n" ); document.write( " $\"x%5E2-x-2+=+0\"$ Factor the left side.
\n" ); document.write( " $\"%28x-2%29%28x%2B1%29+=+0\"$ Apply the zero product rule.
\n" ); document.write( " $\"x-2+=+0\"$ or $\"x%2B1+=+0\"$ so...
\n" ); document.write( " $\"highlight%28x+=+2%29\"$ or $\"highlight%28x+=+-1%29\"$ \n" ); document.write( "

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