Teaching UP TGT Mock Test Series 2025 Quantitative Aptitude Algebra Polynomials

If α and β are the zeros of the polynomial f(x) = kx2 + 4x + 4 such that α2 + β2 = 24, then find the positive value of k.

1
\(\frac{1}{3}\)
2
\(\frac{3}{4}\)
3
\(\frac{2}{3}\)
4
\(\frac{4}{3}\)
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