Question

Let x² + √6x + 4 = 0 be any quadratic equation and α, β are the roots of that equation then

\(\frac{α^{34}β^{24}+\alpha^{32}β^{26}+2\alpha^{33}β^{25}}{\alpha ^{31}β^{20}+\alpha^{28}β^{23}+3\alpha^{30}β^{21}+3\alpha ^{30}β^{21}+3\alpha ^{29}\beta^{22}}\) is

(1) \(\frac{-2^7}{3}\sqrt{6}\)

(2) \(\frac{2^7}{3}\sqrt{6}\)

(3) \(\frac{-2^8}{3}\sqrt{6}\)

(4) \(\frac{2^8}{3}\sqrt{6}\)

Answer 1

Correct option is (1) \(\frac{-2^7}{3}\sqrt{6}\)