If alpha,beta are zeroes of the quadratic polynomial p(x)=4x(to the power 2)-5x-1,find the values of alpha(power2)X beta + alpha X beta(power2).

Asked by  | 14th Jun, 2011, 04:18: PM

Expert Answer:

?2? + ??2 = ?? (?+?) = product of roots (sum of roots) = c/a(-b/a)

now c/a= -1/4 and -b/a = -(-5/4)=5/4

so the answer would be -5/16.

Answered by  | 14th Jun, 2011, 02:27: PM

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