document.write( "Question 288557: Compute the discriminate. Then determine the number and type of solutions for the given equation
\n" ); document.write( "9 x² -7x+5 =0
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #209194 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Compute the discriminate.
\n" ); document.write( "Then determine the number and type of solutions for the given equation
\n" ); document.write( "9x² - 7x + 5 = 0
\n" ); document.write( ":
\n" ); document.write( "the equation form: a^2 + b^2 + c
\n" ); document.write( ":
\n" ); document.write( "the discriminant
\n" ); document.write( "D = b^2 - 4*a*c
\n" ); document.write( ":
\n" ); document.write( "in this equation: a=9; b=-7; c=5
\n" ); document.write( ":
\n" ); document.write( "D = -7^2 - 4 * 9 * 5
\n" ); document.write( "D = 49 - 180
\n" ); document.write( "D = -131
\n" ); document.write( ":
\n" ); document.write( "The rules of the discriminant
\n" ); document.write( "D > 0; two distinct real roots
\n" ); document.write( "D = 0; one real root (a double root)
\n" ); document.write( "D < 0; two imaginary roots, one the conjugate of the other
\n" ); document.write( ":
\n" ); document.write( "Remember these rules and you will have no trouble with the discriminant
\n" ); document.write( ":
\n" ); document.write( "You should be able figure out the roots in the given equation now
\n" ); document.write( "
\n" );