document.write( "Question 324633: Find the value(s) of k so that x^2 + 4(k-1)x + 4k^2 = 0 has no real roots \n" ); document.write( "

Algebra.Com's Answer #232371 by Fombitz(32388) $\"\"$ $\"About$

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In order for the quadratic to not have real roots, the discriminant must be less than zero.
\n" ); document.write( " $\"D%3C0\"$
\n" ); document.write( " $\"b%5E2-4ac%3C0\"$
\n" ); document.write( " $\"%284%28k-1%29%29%5E2-4%281%29%284k%5E2%29%3C0\"$
\n" ); document.write( " $\"16%28k%5E2-2k%2B1%29-16k%5E2%3C0\"$
\n" ); document.write( " $\"16k%5E2-32k%2B16-16k%5E2%3C0\"$
\n" ); document.write( " $\"-32k%2B16%3C0\"$
\n" ); document.write( " $\"-32k%3C-16\"$
\n" ); document.write( " $\"highlight%28k%3E1%2F2%29\"$ \n" ); document.write( "

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