Question

Решите уравнение (x-5)^2=(x-3)^2

Answer 1

x^2 - 10x + 25 = x^2 - 6x + 9
x^2 - x^2 - 10x + 6x = - 25 + 9
-4x = - 16
x = 4

Answer 2

$(x-5)^2=(x-3)^2 \ x^2-10x+25=x^2-6x+9 \ x^2-x^2-10x+6x+25-9=0 \ -4x+16=0|:-4 \ x-4=0 \ x=4$