Question

.
Q2A- Factorize
the following equation


6x²+19x-7=0​

Answer 1

Answer:

Given: 6x²+19x-7=0​

To find: The roots of the equation.

Proof:

=6x²+19x-7=0​

By middle term splitting:

⇒ 6x²+21x-2x-7=0​

⇒ 2x(3x-1) +7(3x-1)=0

⇒ (2x+7) (3x-1)=0

⇒ (2x+7)=0   OR   (3x-1)=0

⇒ x=$\frac{-7}{2}$    OR   x= $\frac{1}{3}$

Hence,

x=$\frac{-7}{2}$    OR   x= $\frac{1}{3}$  

Proved.

Hope you got it.

Thank You.