Q. 19 B4.0( 4 Votes )

# Solve the following equation by factorization method:

Answer :

Cross multiplying,

7× 6 = 6 × (x^{2} – 4x - 5)

42 = 6x^{2} – 24x – 30

6x^{2} – 24x – -30 - 42= 0

6x^{2} – 24x – 72= 0

6(x^{2} – 4x – 12) = 0

x^{2} – 4x – 12 = 0

On factorizing,

x^{2} – 6x + 2x – 12 = 0

x(x – 6) + 2(x – 6) = 0

(x + 2) (x – 6) = 0

Solving first part,

x + 2 = 0

x = -2

Solving second part,

x – 6 = 0

x = 6

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