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Digital SAT
Digital SAT Mathematics - No Calculator Section

Finding k for Distinct Roots in Quadratic Equation

Medium Passport To Advanced Math Quadratic Equations

Consider the quadratic equation given by:

$$2x^2 - 8x + k = 0$$

In this equation, the value of $k$ is a constant. The equation has two distinct real roots. What is the range of values that $k$ can take for the roots to be distinct?

Provide your answer as a single number or a fraction to the nearest hundredth.

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