Question

Xsquare + ysquare=34…(1)
X+Y=2…(2)

Answer 1

Explanation:

(2)

x + y = 2

x = 2 - y

substitute x = (2-y) into (1)

(1)

x² + y² = 34

(2-y)² + y² = 34

4 - 4y + y² + y² = 34

2y² - 4y + 4 - 34 = 0

2y² - 4y - 30 = 0

y² - 2y - 15 = 0

(y-5)(y+3) = 0

y₁ = 5

y₂ = -3

substitute y₁ & y₂ into (2)

x₁ + y₁ = 2

x₁ + 5 = 2

x₁ = -3

x₂ + y₂ = 2

x₂ - 3 = 2

x₂ = 5