Question

Como resolvo o sistema?

X-y= 5
X²+y²= 13

Answer 1

Vamos la

x - y = 5

x² + y² = 13

y = x - 5

x² + (x - 5)² = 13

x² + x² - 10x + 25 = 13

2x² - 10x + 12 = 0

x² - 5x + 6 = 0

delta

d² = 25 - 24 = 1, d = 1

x1 = (5 + 1)/2 = 6/2 = 3, y1 = x1 - 5 = -2

x2 = (5 - 1)/2 = 4/2 = 2. y2 = x2 - 5 = -3

x1 = (5 + 7)/2 = 12/2 = 6