Question

If alpha and beta are the zeroes of the polynomial x²+x-2 then find the value of alpha ² + beta. ²

Answer 1

Step-by-step explanation:

$\alpha \: , \: \beta \: are \: the \: zeros \: of \: the \: polynomial \\ {x}^{2} + x - 2 \\ then \:, \alpha + \beta = - 1 \: \: \:, \: \alpha \beta = - 2 \\ { \alpha }^{2} + { \beta }^{2} = ( { \alpha + \beta )}^{2} - 2 \alpha \beta \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1 + 4 = 5 \\ \\ Hope \: it \: will \: help \: you.$