If \alpha is the common root of the quadratic equations x^2-5 x+4 a=0, x^2-2 a x-8=0, where a \in \mathbb{R}, then the value of \alpha^4-\alpha^3+68 is [AP EAPCET 27 May 2025 S1]

AP EAPCET 27 May 2025 Shift 1 Paper

Section: Mathematics

Question : 10 of 160

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If α is the common root of the quadratic equations x2−5x+4a=0, x2−2ax−8=0, where a∈ℝ, then the value of α4−α3+68 is

[AP EAPCET 27 May 2025 S1]

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