Question

Rozwiąż równanie:
(x+1/2)² - (x - 1)(x+1) = 16

Answer 1

(x+1/2)² - (x - 1)(x+1) = 16

x^2 + 2*1/2*x + 1/4 - (x^2 - 1^2) = 16

x^2 + x + 1/4 - (x^2 -1) = 16

x^2 + x + 1/4 -x^2 + 1= 16

x^2 - x^2 + x + 1/4 + 1= 16

x + 1 i 1/4x= 16

x= 16 - 1 i 1/4

x= 14 i 3/4