Question

(х - 1) (х + 1) - х(х - 2) = 0​

Answer 1

(х - 1) (х + 1) - х(х - 2) = 0​

х²-1-х²+2х=0

2х-1=0

2х=1

х=1/2 или 0,5

Answer 2

To solve the equation (x - 1)(x + 1) - x(x - 2) = 0, let's simplify the expression first:

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

Expanding the expressions:

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

Now, simplify further by removing the parentheses:

x^2 - 1 - x^2 + 2x = 0

Combining like terms:

2x - 1 = 0

Now, isolate x by moving the constant term to the other side:

2x = 1

Divide both sides by 2:

x = 1/2

Therefore, the solution to the equation (x - 1)(x + 1) - x(x - 2) = 0 is x = 1/2.