document.write( "Question 1201074: Given 3x² - mx + 3 = 0, What values of m would the roots not be real ? \n" ); document.write( "

Algebra.Com's Answer #835323 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Form the discriminant of the quadratic equation\r\n" );
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document.write( "    d = b^2 - 4ac = (-m)^2 - 4*3*3 = m^2 - 36\r\n" );
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document.write( "and analyze when the discriminant is negative\r\n" );
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document.write( "    d < 0  <-->  m^2-36 < 0  <-->  m^2 < 36  <-->  -6 < m < 6.\r\n" );
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document.write( "ANSWER.  If  -6 < m < 6, the roots of the equation are not real.\r\n" );
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