If α and β are the roots of the equation \log _{10}⁡ [998 + \sqrt{x^{2}−18x + 76}] = 3 then what is (α - β) 2 equal to?

UPSC CDS II 2025 Mathematics Paper

Question : 37 of 100

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If α and β are the roots of the equation log10⁡[998+√x2−18x+76]=3 then what is (α - β)² equal to?

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