Question

(x² – 3x)² – 5(x² – 3x) + 6 = 0​

Answer 1

Step-by-step explanation:

Given equation is (x2 + 3x)2 – (x2 + 3x) – 6 = 0

Putting x2 + 3x = y , the given equation becomes

y2 – y – 6 = 0

⇒ y2 – 3y + 2y – 6 = 0

⇒ y(y – 3) + 2(y – 3) = 0

⇒ (y – 3)(y + 2) = 0

⇒ y – 3 = 0 or y + 2 = 0

⇒ y = 3 or y = - 2

But x2 + 3x = y