document.write( "Question 830733: Find all values of K for which the quadratic equation has two real solutions9x^2+5x-k=0 Write your answer as an equality or inequality in terms of K \n" ); document.write( "

Algebra.Com's Answer #500809 by Fombitz(32388) $\"\"$ $\"About$

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The discriminant must be greater or equal to zero.
\n" ); document.write( " $\"D=b%5E2-4ac\"$
\n" ); document.write( " $\"D=5%5E2-4%2A9%2A%28-k%29%3E=0\"$
\n" ); document.write( " $\"25%2B36k%3E=0\"$
\n" ); document.write( " $\"36k%3E=-25\"$
\n" ); document.write( " $\"k%3E=-25%2F36\"$
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\n" ); document.write( "In the graph, red ( $\"k=-2\"$ ), green ( $\"k=-25%2F36\"$ ), blue ( $\"k=1\"$ ), violet ( $\"k=2\"$ ).
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\n" ); document.write( "Also, if you're looking for two distinct real roots then
\n" ); document.write( " $\"k%3E-25%2F36\"$
\n" ); document.write( "When $\"k=-25%2F36\"$ , there are two real roots but they have the same value. \n" ); document.write( "

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