Q18 of 47 Page 1

Solve the equation For x.

Given equation,


⇒


⇒


By Cross multiplying, we get


⇒ 2(2x + 2) = (5 – x) (3x – 1)


⇒ 4x + 4 = 15x – 5 – 3x2 + x


⇒ 3x2 – 12x + 9 = 0


Dividing by 3, we get


⇒ x2 – 4x + 3 = 0


By factorization method,


⇒ x2 – 3x – x + 3 = 0


⇒ x(x – 3) – 1(x – 3) = 0


⇒ (x – 3) (x – 1) = 0


⇒ x = 3 (or) x = 1


The solution of the given equation is x = 1, 3.


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