Question

find the value of α+β and αβ: 3x2 -2x+6=0

Answer 1

$3 {x}^{2} - 2x + 6 = 0$

So,

alpha+beta= -b/a

= -(-2)/3

=2/3

alpha beta= c/a

=6/3

=2

hope it is helpful.

Answer 2

$\red{\boxed{\huge Answer}}$

$3 {x}^{2} - 2x + 6 = 0$

$\alpha + \beta = \frac{- coefficient \: of \: x}{coefficient \: of {x}^{2} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \ = \frac{ - ( - 2)}{3}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{2}{3}$

$\alpha . \beta = \frac{constant \: term}{coefficient \: of \: {x}^{2} }$

$\: \: \: \: \: \: \: \: = \frac{6}{3}$

$\: \: \: \: \: \: \: \: = 2$