Question

(3x-1)Ao quadrado+(x-2) ao quadrado=25

Answer 1

(3x - 1)² + (x- 2)² = 25
9x² - 6x + 1 + x² -4x + 4 = 25
10x² - 10x + 5 = 25
10x² - 10x - 20 = 0

~ divide por 10 ~

x² - x - 2 = 0
Δ = 1 + 8
Δ = 9
$x = \frac{(1 \pm 3)}{2} \\ \\ x' = \frac{1+3}{2} =2 \\ \\ x'' = \frac{1 - 3}{2} = -1$