Question

solve show full solution :-
x²–3x+2=0​

Answer 1

$\bold{Given: x^2−3x+2=0}$

$\small \bold {x^2−2x−1x+2=0 (Resolving \: the \: expression)}$

x(x−2)−1(x−2)=0 (Taking common factors)

(x−2)(x−1)=0 (Taking common factors)

∴x−2=0 or x−1=0 (Equating each factor to zero)

∴x=2 or x=1

$\small\bold{∴2 \: and \: 1 \: are \: the \: roots \: of \: x^2−3x+2=0}$