document.write( "Question 399248: Write a quadratic equation with the roots + or - radical5/4. write equation in the form ax^2+bx+c=0 where a, b, and c are integers.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "thanks. \n" ); document.write( "

Algebra.Com's Answer #282729 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the fact that x-r is a factor of a polynomial if and only if r is a root. Since 5/4 and -5/4 are the roots, then the polynomial is\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%28x-5%2F4%29%28x%2B5%2F4%29+=+x%5E2+-+25%2F16\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This polynomial has the same zeros as $\"16x%5E2+-+25\"$ (the coefficients are integers in this case) so this is the desired polynomial. We could multiply this by some other integer to obtain a similar polynomial, for example, $\"48x%5E2+-+75\"$ . \n" ); document.write( "

\n" );