Question

(x + 1)(x - 2) - x (x-1)=0
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Answer 1

Answer:

The given equation has no solution.

Step-by-step-explanation:

The given equation is

( x + 1 ) ( x - 2 ) - x ( x - 1 ) = 0.

We have to find the value of x.

Now,

( x + 1 ) ( x - 2 ) - x ( x - 1 ) = 0

⇒ x ( x - 2 ) + 1 ( x - 2 ) - ( x² - x ) = 0

⇒ x² - 2x + x - 2 - x² + x = 0

⇒ x² - x² - 2x + x + x - 2 = 0

⇒ 0 - 2x + 2x - 2 = 0

⇒ 2x - 2x - 2 = 0

⇒ 0 - 2 = 0

⇒ - 2 = 0

∴ LHS ≠ RHS

This is a contradiction.

∴ The given equation has no solution.