Question

if alpha and beta are the two zeroes of x²-4x-1 ,find alpha-beta , alpha²+beta² , alpha³+beta³, 1/alpha + 1/beta​ solve and send me on this number 8709466199​

Answer 1

Answer:

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