document.write( "Question 13525: I need help solving this quadratic equation:
\n" ); document.write( "(x-2)^2+x^2=10 \n" ); document.write( "

Algebra.Com's Answer #6819 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, get the equation into standard form: $\"ax%5E2+%2B+bx+%2B+c+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-2%29%5E2+%2B+x%5E2+=+0\"$ Expand the parentheses.
\n" ); document.write( " $\"x%5E2+-+4x+%2B+4+%2B+x%5E2+=+0\"$ Combine the x^2 terms.
\n" ); document.write( " $\"2x%5E2+-+4x+%2B+4+=+0\"$ Factor a 2.
\n" ); document.write( " $\"2%28x%5E2+-+2x+%2B+2%29+=+0\"$ Solve the parentheses using the quadratic formula: $\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-%28-2%29%2B-sqrt%28%28-2%29%5E2-4%282%29%29%2F2\"$
\n" ); document.write( " $\"x=%282%2B-sqrt%284-8%29%29%2F2\"$
\n" ); document.write( " $\"x=1%2B-sqrt%28-4%29%2F2\"$
\n" ); document.write( " $\"x=1%2B-sqrt%28-1%29\"$
\n" ); document.write( " $\"x+=+1%2B-i\"$ \n" ); document.write( "

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