Math, asked by prama06, 10 months ago

211) Find the roots Of
xpower2/3+xpower1/3-2=0​

Answers

Answered by mukeshkgoyal79
0

Answer:Given equation is x 2/3  + x 1/3  - 2 = 0

Putting x 1/3  = y, the given equation becomes

y2 + y – 2 = 0

⇒ y2 + 2y – y – 2 = 0

⇒ y(y+ 2) – 1(y + 2) = 0

⇒ (y + 2) (y – 1) = 0

⇒ y + 2  = 0  or  y – 1 = 0

⇒ y = -2 or y = 1

But   x 1/3  = y

∴   x 1/3  = - 2  or  x 1/3   = 1

⇒ x = (- 2)3  or x = (1)3

⇒ x = - 8 or x = 1

Hence, roots are -8, 1.

Step-by-step explanation:

Answered by seersha57
0

Answer:

therefore roots are x=2,-3

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