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Question:

For what values of k, the roots of the equation x^2 + 4x + k = 0 are real?

Solution:

For a Quadratic Equation ax^2 + bx + c = 0 to have real roots, b^2 - 4ac ≥ 0 => b^2 ≥ 4ac => 16 ≥ 4k => k ≤ 4