Question

If the roots of the quadratic equation \( 2x^2 - 5x + k = 0 \) are real and distinct, what is the range of values for \( k \)?

• A. \( k>\frac{25}{8} \)
• B. \( k<\frac{25}{8} \)
• C. \( k>0 \)
• D. \( k<0 \)

Hint:

For real and distinct roots, the discriminant must be positive. If the discriminant is zero, the roots are real and equal. If the discriminant is negative, the roots are imaginary.