Q19 of 108 Page 46

Solve the following equation by factorization method:






Cross Multiplying,


30 × (-11) = 11 × (x2 – 3x - 28)


-330 = 11x2 – 33x – 308


11x2 – 33x – 308 + 330 = 0


11x2 – 33x + 22 = 0


11(x2 – 3x + 2) = 0


x2 – 3x + 2 = 0


On factorizing,


x2 – 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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