document.write( "Question 369520: Find the smallest integer value of k such that kx^2-2x+5=0 has imaginary roots. \n" ); document.write( "

Algebra.Com's Answer #263328 by Fombitz(32388) $\"\"$ $\"About$

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Use the discriminant,
\n" ); document.write( " $\"D=b%5E2-4ac\"$
\n" ); document.write( " $\"D=%28-2%29%5E2-4%28k%29%285%29\"$
\n" ); document.write( "THe roots are complex when $\"D%3C0\"$
\n" ); document.write( " $\"4-20k%3C0\"$
\n" ); document.write( " $\"20k%3E4\"$
\n" ); document.write( " $\"k%3E4%2F20\"$
\n" ); document.write( " $\"k%3E1%2F5\"$
\n" ); document.write( "The smallest integer would then be
\n" ); document.write( " $\"highlight%28k=1%29\"$
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