If α ,β are the roots of the equation x2−px+q=0 and α > 0,β >0 , – InterviewSolution

1.	If α ,β are the roots of the equation x2−px+q=0 and α > 0,β >0 , then the value of α14+β14 is (p+6√q+4q14√p+2√q)k , where k is equal to
Answer» If $α, β$ are the roots of the equation $x^{2} - p x + q = 0 a n d α$ > $0, β$ > $0$ , then the value of $α^{\frac{1}{4}} + β^{\frac{1}{4}} i s {(p + 6 \sqrt{q} + 4 q^{\frac{1}{4}} \sqrt{p + 2 \sqrt{q}})}^{k}$ , where k is equal to

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