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Home › CBSE Class 11 (Commerce) › Mathematics › Sequences and Series › A quadratic has roots with A.M. 8 and G.M. 5. Wh…

A quadratic has roots with A.M. 8 and G.M. 5. Which is the equation?

Ax^2 - 16x + 5 = 0
Bx^2 - 8x + 5 = 0
Cx^2 - 8x + 25 = 0
Dx^2 - 16x + 25 = 0
Answer & Solution
Correct answer: D. x^2 - 16x + 25 = 0
The roots have sum 2 x 8 = 16 and product 5^2 = 25, giving x^2 - 16x + 25 = 0.
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