Question

a and b are the roots of the equation 3x2-13x+14=0,then what is the value of a/b+b/a​

Answer 1

Given

$\rm\alpha \: and \: \beta$or the polynomial p(x) = 3x² - 13x + 14 = 0

We know that:

$\rm\alpha + \beta = \frac{-(-13) }{3} \: \: or \frac{13}{3}$ -----> (1)

$\rm\alpha × \beta = \frac{14}{3}$ -----> (2)

$\rm\frac{\alpha}{\beta} + \frac{\beta}{\alpha}$

Taking LCM:

$\rm\frac{\alpha + \beta}{\alpha\beta}$

Putting the values of (1) and (2), we get:

$\rm\frac{13/3}{14/3}$

$\fbox{ \rm\frac{13}{14}}$