document.write( "Question 367588: Solve this quadratic inequality and show answer in interval notation:
\n" ); document.write( "4x^2 - 12x + 9 > 0 \n" ); document.write( "

Algebra.Com's Answer #262002 by robertb(5830) $\"\"$ $\"About$

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$\"4x%5E2+-+12x+%2B+9+%3E+0+\"$ is the same as $\"%282x-3%29%5E2+%3E0\"$ . All real numbers will satisfy this except x = 3/2, when it is zero. Thus the solution set is ( $\"-infinity\"$ , 3/2)U(3/2, $\"infinity\"$ ).\r
\n" ); document.write( "\n" ); document.write( "4x^2 - 3x - 6 = 0
\n" ); document.write( "Check the discriminant: $\"b%5E2-4%2Aa%2Ac+=+%28-3%29%5E2+-+4%2A4%2A-6+=+9+%2B96=105\"$ . The value of the discriminant is positive but is not a perfect square, so the quadratic expression cannot be factored into linear factors with rational coefficients. \n" ); document.write( "

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