Question

(x-1)² =1....
...........​

Answer 1

Răspuns:

Explicație pas cu pas:

(x-1)² = 1

(x - 1)² - 1 = 0

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

x (x - 2) = 0

x = 0  

x - 2 = 0

x = 2

S = {0; 2}

(x-1)² =1

x² - 2x + 1 = 1

x² - 2x + 1 - 1 = 0

x² - 2x = 0

Δ = b² - 4ac = 4 - 0 = 4

x1 = (-b+√Δ)/2a = (2 + 2)/ 2 = 4/2 = 2

x2 = (-b -√Δ)/2a = (2-2)/2 = 0/2 = 0

S = {2; 0}