document.write( "Question 1166004: \"For what values of k will the equation x^2 + kx + 25 = 0 have no real solution?\" \n" ); document.write( "

Algebra.Com's Answer #790481 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "A necessary and sufficient condition is negativity of the discriminant of the equation\r\n" );
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document.write( "    b^2 - 4ac < 0,   or  k^2 - 4*25 < 0,   or  k^2 < 100.\r\n" );
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document.write( "So, in the interval  -10 < k < 10,  the given quadratic equation has no real roots.\r\n" );
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