document.write( "Question 1146313: A quadratic equation has roots $\"a\"$ and $\"b\"$ .\r
\n" ); document.write( "\n" ); document.write( "If $\"a%2Bb=6\"$ and $\"a-b=4\"$ , find an expression for the equation in the form $\"ax%5E2%2Bbx%2Bc\"$ . \n" ); document.write( "

Algebra.Com's Answer #767594 by math_helper(2461) $\"\"$ $\"About$

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A quadratic equation has roots $\"a\"$ and $\"b\"$ .\r
\n" ); document.write( "\n" ); document.write( "If $\"a%2Bb=6\"$ and $\"a-b=4\"$ , find an expression for the equation in the form $\"ax%5E2%2Bbx%2Bc\"$ .\r
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\n" ); document.write( "\n" ); document.write( "I like this formulation better:
\n" ); document.write( "A quadratic equation has roots $\"a\"$ and $\"b\"$ .\r
\n" ); document.write( "\n" ); document.write( "If $\"a%2Bb=6\"$ and $\"a-b=4\"$ , find an expression for the equation in the form $\"Ax%5E2%2BBx%2BC\"$ . Note that A,B, and C are not the same as a,b\r
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\n" ); document.write( "a+b = 6, a-b = 4 tells you a=5, b=1\r
\n" ); document.write( "\n" ); document.write( "Thus, (x-5)(x-1) = $\"highlight%28+x%5E2-6x%2B5+%29\"$ is the quadratic (A=1, B=-6, C=5, in agreement with Viete's Theorem)\r
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