Question

If alpha ,Bita are the zeroes of polynomial px=x^2-5x+4 find the value of 1/a+1/b-2ab

Answer 1

Answer:

given that the alpha and beta are the zeroes of the given equation.

so, the zeroes if the given equation is

x square -5x +4.

x square -4x-x+4.

x (x-4) -1(x-4).

(x-1)(x-4).

x=1&x=4.

as alpha =1 & beta =4. so the value of given number is :-->

1/a+1/b-2ab.

1/1+1/4-2(1)(4).

5/4 - 8.

5-32/4.

-27/4 . it is also -3 cube/2square .

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