Question

De urge √(x-3) = √(5x-11) -4 el -4 esta fueras de la raiz

Answer 1

√(x-3) = √(5x-11) - 4

[√(x-3)]² = [√(5x-11) - 4]²

x - 3 = 5x - 11 - 8√(5x-11) + 16

8√(5x-11) = 4x + 8

[8√(5x-11)]² = (4x+8)²

64(5x - 11) = 16x² + 64x + 64

4(5x - 11) = x² + 4x + 4

20x - 44 = x² + 4x + 4

x² - 16x + 48 = 0

(x - 12) (x - 4) = 0

x-12 = 0 ó x-4 = 0

x = 12 ó x = 4