Q. 19 D4.2( 6 Votes )

# Solve the following equation by factorization method:

Answer :

Cross Multiplying,

30 × (-11) = 11 × (x^{2} – 3x - 28)

-330 = 11x^{2} – 33x – 308

11x^{2} – 33x – 308 + 330 = 0

11x^{2} – 33x + 22 = 0

11(x^{2} – 3x + 2) = 0

x^{2} – 3x + 2 = 0

On factorizing,

x^{2} – 2x – x + 2 = 0

x (x – 2) –1(x – 2) = 0

(x – 2) (x – 1) = 0

Solving first part,

x – 2 = 0

x = 2

Solving Second part,

x – 1 = 0

x = 1

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