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If alpha, beta are the roots of the equa...

If `alpha, beta` are the roots of the equation `lambda(x^(2)-x)+x+5=0` and if `lambda_(1) and lambda_(2)` are two values of `lambda` obtained from `(alpha)/(beta)+(beta)/(alpha)=(4)/(5)`, then `(lambda_(1))/(lambda_(2)^(2))+(lambda_(2))/(lambda_(1)^(2))` equals

A

4192

B

4144

C

4096

D

4048

Text Solution

Verified by Experts

The correct Answer is:
D
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