document.write( "Question 1136788: Form the quadratic equation in t whose roots are 2+-√11
\n" ); document.write( "t^2+4t+7=0
\n" ); document.write( "t^2+4t-7=0
\n" ); document.write( "t^2-4t-7=0 \n" ); document.write( "

Algebra.Com's Answer #754611 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Use Vieta's Theorem, which says that in the quadratic equation

\n" ); document.write( " $\"at%5E2%2Bbt%2Bc=0\"$

\n" ); document.write( "the sum of the roots is -b/a and the product of the roots is c/a.

\n" ); document.write( "Given the two roots $\"2%2Bsqrt%2811%29\"$ and $\"2-sqrt%2811%29\"$ , the sum of the roots is 4 and the product of the roots is -7. That makes the equation

\n" ); document.write( " $\"t%5E2-4t-7+=+0\"$
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