Find the constant. Find the constant k so that the quadratic equation 2x2 + 5x - k = 0 has two real solutions.

Expert Answers

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A quadratic equation ax^2 + bx + c = 0 has two real roots if b^2 > 4ac

For 2x^2 + 5x - k = 0 to have two real roots:

5^2 > 4*2*(-k)

=> 25 > -8k

=> k > -25/8

The term k can take any value greater than -25/8

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