alleryIf the A.M. and G.M. of the roots of a quadratic equation are 8 and 5 respectively, the equation is:
A$x^2 - 8x + 5 = 0$
B$x^2 - 16x + 10 = 0$
C$x^2 - 10x + 64 = 0$
D$x^2 - 16x + 25 = 0$
Answer & Solution
Correct answer: D. $x^2 - 16x + 25 = 0$
Sum of roots = 2·A.M. = 16, product = (G.M.)² = 25 ⟹ x²−16x+25=0.
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