document.write( "Question 1100369: For what value of k do we have 2 solutions 2x*2+kx-3=0 \n" ); document.write( "

Algebra.Com's Answer #714837 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "For those values of \"k\" for which the discriminant  d = b^2 - 4ac  is positive \r\n" );
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document.write( "    (I refer to the general form of quadratic equation  ax^2 + bx + c = 0.)\r\n" );
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document.write( "In your case the discriminant is  k^2 -4*2*(-3) = k^2 + 24.\r\n" );
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document.write( "This expression is positive for all and any values of \"k\": it is the sum of a square and the positive number.\r\n" );
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document.write( "Hence, the given equation has 2 (two) different real solutions at any value of k.\r\n" );
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