document.write( "Question 147845: Find the discriminant and state the nature of the roots: -6x^2-3x+2=0 and x^2+6x=0
\n" ); document.write( "I don't understand what the question is saying. \n" ); document.write( "
Algebra.Com's Answer #108217 by nabla(475)\"\" \"About 
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The discriminant comes from the quadratic formula. It is what is under the root.
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r
\n" ); document.write( "\n" ); document.write( "This is for form ax^2+bx+c=f(x)
\n" ); document.write( "So, now just determine b^2-4ac given each equation.\r
\n" ); document.write( "\n" ); document.write( "9-4(-6)(2)=9+48=57. Because 57>0, we will have 2 real roots due to the quadratic formula's +/-.\r
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\n" ); document.write( "\n" ); document.write( "Now for the second equation.
\n" ); document.write( "36. Because 36>0, we will have 2 real roots due to the quadratic formula's +/-.\r
\n" ); document.write( "\n" ); document.write( "I will tell you what happens in all other cases.\r
\n" ); document.write( "\n" ); document.write( "If discriminant<0 we will have 2 imaginary roots.
\n" ); document.write( "If discriminant=0 we will have 1 real root. These follow because of what happens with the root by definition. \n" ); document.write( "
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