Question

Find the roots using splitting the middle term method in the quadratic equation:
$3x ^{2} + 2x + 1$
​

Answer 1

Answer:

Given x

2

−3x+2=0

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

∴2 and 1 are the roots of x

2

−3x+2=0