document.write( "Question 19718: What Quadratic Equation has the following solutions: X= 4 +/- Square root 7? \n" ); document.write( "

Algebra.Com's Answer #9572 by xcentaur(357) $\"\"$ $\"About$

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roots of the equation: 4 +- sqrt(7)
\n" ); document.write( "sum of the roots: (4+sqrt(7))+(4-sqrt(7)) = 4+4= 8
\n" ); document.write( "product of the roots: (4+sqrt(7))*(4-sqrt(7)) = (16-7)= 9
\n" ); document.write( "

\n" ); document.write( "in a quadratic equation of form
\n" ); document.write( " $\"ax%5E2%2Bbx%2Bc=0\"$
\n" ); document.write( "(-b/a)=sum of the roots
\n" ); document.write( "(c/a)=product of the roots

\n" ); document.write( "let co-efficient of x^2 be 1
\n" ); document.write( "then we get,
\n" ); document.write( "(-b)=sum,(c)=product
\n" ); document.write( "-b=8,c=9
\n" ); document.write( "b=-8,c=9
\n" ); document.write( "substituting these values in our above equation,
\n" ); document.write( " $\"ax%5E2%2Bbx%2Bc=0\"$
\n" ); document.write( " $\"x%5E2-8x%2B9=0\"$
\n" ); document.write( "

\n" ); document.write( "Hope this helps,
\n" ); document.write( "Prabhat \n" ); document.write( "

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