Question

If α&β are zeroes of the polynomial f(x)=x2-8x+λ such that α-β=2, find the value of λ.

Answer 1

hey mate

here is your answer

$\alpha + \beta = 8.............1 \\ \alpha - \beta = 2............2$

adding 1 and 2

$\alpha + \alpha + \beta - \beta = 10 \\ 2 \alpha = 10 \\ \alpha = 5 \\ \\ \\ \alpha + \beta = 8 \\ \beta = 8 - 5 = 3 \\ \\ \alpha \beta = lybda\\ 5 \times 3 = 15$

value of lybda is 15.