Question

(x−4)^2 =4−x
"(x-4)^2" is in a square root

Answer 1

x = 4 , 5

Explanation:

sqrt(x - 4) = 4 - x

Square both sides

x - 4 = (4 - x)²

x - 4 = 16 - 8x + x²

x² - 9x + 20 = 0

x² - 5x - 4x + 20 = 0

x(x - 5) - 4(x - 5) = 0

(x - 5)(x - 4) = 0

x = 4,5