If A and B are the zeros of x square - 4 x + 1 then 1 / A + 1 / B minus A B is

Given: α,β are zeroes of the polynomial x

2

−4x+1

To find the value of

α

1

+

β

1

−αβ

Sol: From the given quadratic equation,

α+β=4 and αβ=1

Therefore,

α

1

+

β

1

−αβ=

αβ

α+β

−αβ

⟹=4−1=3

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb