If \frac{8^5 \cdot(27)^4 \cdot 6^3}{(64)^2 \cdot 9^5 \cdot 18^3}=2^\alpha \cdot 2^\beta then the quadratic equation for which \alpha and \beta are the roots is

Correct Answer is : x2−2x−3=0

AP ICET 25 July 2022 Shift 1 Solved Paper

Question : 147 of 200

Marks: +1, -0

\;{8^5 ⋅(27)^4 ⋅ 6^3}/{(64)^2 ⋅ 9^5 ⋅ 18^3}=2^α ⋅ 2^β

then the quadratic equation for which

α

and

β

are the roots is

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