Question

Is alpha and beta are zeroes of polynomial x2-3x+2 then find 1/alpha+1/beta

Answer 1

You can't find it easily by transformation of roots but you need to manually do it. Moreover this equation do not have real roots. So it is a difficult problem to be solved via any possible trick or method.

Thanking you!

Answer 2

here you go ☆☆

▪${x}^{2} - 3x + 2$

▪${x}^{2} - x - 2x + 2$

▪$( {x}^{2} - x) - (2x + 2)$

▪$x(x - 1) - 2(x - 1)$

▪$(x - 2)(x - 1)$

$<b> so two zeroes are$

▪$x = 2 \: and \: x = 1$

$<u> now another step$


▪$\frac{1}{ \alpha } + \frac{1}{ \beta } = \frac{1}{2} + 1$

▪$\frac{1 + 2}{2}$

▪$\frac{3}{2} = \frac{1}{ \alpha } + \frac{1}{ \beta }$

hope it helps:)