If 2x^2 + kx-8 = 0 has two equal real roots, then
- k is an imaginary number.
- k=+/-8.
- k=-8.
Explanation
Equal real roots require the discriminant b^2 - 4ac = 0. Here that is k^2 - 4(2)(-8) = k^2 + 64 = 0, so k^2 = -64. No real value satisfies this, meaning k would have to be imaginary.
kornei84 asking:
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