SOLUTION: 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

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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
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The discriminant must be greater or equal to zero.
D=b%5E2-4ac
D=5%5E2-4%2A9%2A%28-k%29%3E=0
25%2B36k%3E=0
36k%3E=-25
k%3E=-25%2F36
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In the graph, red (k=-2), green (k=-25%2F36), blue (k=1), violet (k=2).
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Also, if you're looking for two distinct real roots then
k%3E-25%2F36
When k=-25%2F36, there are two real roots but they have the same value.