Question

solve x (x²-5x)²-(x²-5x)+6=0​

Answer 1

Answer:

x2 – 5x)2 – 7(x2 – 5x) + 6 = 0

Put x2 – 5x = y

∴ The given equation becomes

y2 – 7y + 6 = 0

⇒ y2 – 6y – y + 6 = 0

⇒ y(y – 6) – 1(y – 6) = 0

⇒ y = 1, 6

But x2 – 5x = y