Question

If α and β are roots of the equation $x^{2}+px+\frac{3p}{4}=0$, such that |α - β |= $\sqrt{10}$, then p belongs to the set :
(a) {2, –5}
(b) {–3, 2}
(c) {–2, 5}
(d) {3, –5}

Answer 1

Answer attached...

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Answer 2

The answer of the question is p={-2,5}