1.

Solve : (x + 3)2 – 4(x + 3) – 5 = 0

Answer»

(x + 3)2 – 4(x + 3) – 5 = 0

Let x + 3 = y

Then y2 – 4y – 5 = 0

⟹ y2 – 5y + y – 5 = 0

⟹ y (y – 5) + 1 (y – 5) = 0

⟹ (y – 5) (y + 1) = 0

If y – 5 = 0 Or y + 1 = 0

Then y = 5 Or y = – 1

⟹ x + 3 = 5 or x + 3 = -1

⟹ x = 2 or x = – 4



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