Teaching NVS PGT 2024 Test Series Quantitative Aptitude Algebra Quadratic Equation

For what value of k, (4 - k)x2 + (2k + 4)x + (8k + 1) = 0, is a perfect square?

1
k = 0 and k = 3
2
k = 0 and k = 4
3
k = 0 and k = -1
4
k = 0 and k = 8
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