Question

If alpha and beta are the roots of x^2-4x+3=0 then find alpha cube and beta cube

Answer 1

HELLO......FRIEND!!

THE ANSWER IS HERE,

Alpha & beta are the roots.Then,

$= > \: \alpha + \beta = \frac{ - b}{a} = 4$

$= > \: \alpha \beta = \frac{c}{a} = 3$


From the question,

$= > \: { \alpha }^{3} + { \beta }^{3} = {( \alpha + \beta )}^{3} - 3 \alpha \beta ( \alpha + \beta )$

$= > \: {4}^{3} - 3(3)(4)$

$= > \: 64 - 36$

=> 28.


:-)Hope it helps u.