document.write( "Question 574673: How would I use the quadratic formula to solve 3x^2-6x-7=0? \n" ); document.write( "

Algebra.Com's Answer #369213 by Earlsdon(6294) $\"\"$ $\"About$

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How to use the quadratic formula $\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$ for solving:
\n" ); document.write( " $\"3x%5E2-6x-7+=+0\"$
\n" ); document.write( "First, identify a, b, and c from the quadratic equation.
\n" ); document.write( "These come from the general form: $\"ax%5E2%2Bbx%2Bc+=+0\"$ so in your problem, a = 3, b = -6, and c = -7.
\n" ); document.write( "Substitute these values into the formula:
\n" ); document.write( " $\"x+=+%28-%28-6%29%2B-sqrt%28%28-6%29%5E2-4%283%29%28-7%29%29%29%2F2%283%29\"$ Simplify this.
\n" ); document.write( " $\"x+=+%286%2B-sqrt%2836-%28-84%29%29%29%2F6\"$ Evaluate.
\n" ); document.write( " $\"x+=+%286%2B-sqrt%28120%29%29%2F6\"$
\n" ); document.write( " $\"x+=+6%2F6+%2Bsqrt%28120%29%2F6\"$ or $\"6%2F6-sqrt%28120%29%2F6\"$
\n" ); document.write( " $\"x+=+1%2B1.826\"$ or $\"x+=+1-1.826\"$
\n" ); document.write( " $\"x+=+2.826\"$ or $\"x+=+-0.826\"$ \n" ); document.write( "

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