document.write( "Question 83827: Solve by using the quadratic formula.
\n" ); document.write( " x^2 = –7x + 12 \n" ); document.write( "

Algebra.Com's Answer #60296 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve using the quadratic formula: $\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$
\n" ); document.write( "It would help if you were to put your equation into the standard form for quadratic equations: $\"ax%5E2%2Bbx%2Bc+=+0\"$
\n" ); document.write( " $\"x%5E2+=+-7x%2B12\"$ Add 7x to both sides.
\n" ); document.write( " $\"x%5E2%2B7x+=+12\"$ Now subtract 12 from both sides.
\n" ); document.write( " $\"x%5E2%2B7x-12+=+0\"$ So now you can see that a = 1, b = 7 and c = -12.
\n" ); document.write( "Applying the quadratic formula, you get:
\n" ); document.write( " $\"x+=+%28-7%2B-sqrt%287%5E2-4%281%29%28-12%29%29%29%2F2%281%29\"$ Simplify this.
\n" ); document.write( " $\"x+=+%28-7%2B-sqrt%2849-%28-48%29%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%28-7%2B-sqrt%2897%29%29%2F2\"$
\n" ); document.write( "The solutions are:
\n" ); document.write( " $\"x+=+%281%2F2%29%28-7%2Bsqrt%2897%29%29\"$ and $\"x+=+%281%2F2%29%28-7-sqrt%2897%29%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );