Question

(2x-6)^2 - 4x^2 = 0

Answer 1

(2x - 6)² - 4x² = 0

4x² - 24x + 36 - 4x² = 0

-24x + 36 = 0

-24x = -36

$x = dfrac{-36}{-24}=dfrac{3}{2}=1dfrac{1}{2}=1,5$

Answer 2

(2x - 6)² - 4x² = 0,

(2х - 6)² - (2х)² = 0, воспользуемся формулой a² - b² = (a - b)(a + b)

(2х - 6 - 2х)(2х - 6 + 2х) = 0,

-6(4х - 6) = 0,

4х - 6 = 0,

4х = 6,

х = 6 : 4,

х = 1,5.

Ответ: 1,5.