Question

x-y=8
x+y²=14

urgeeente

Answer 1

x - y = 8
x = 8 + y

x + y² = 14
8 + y + y² = 14
y² + y + 8 - 14 = 0
y² + y - 6 = 0
a = 1; b = 1; c = - 6

Δ = b² - 4ac
Δ = 1² - 4.1.(-6)
Δ = 1 + 24
Δ = 25

y = - b +/- √Δ  = - 1 +/- √25
           2a               2.1

y = - 1 + 5 = 4/2 = 2
         2

y = - 1 - 5 = - 6/2 = - 3
          2

y = 2 e y = - 3

y = 2
x = 8 + y
x = 8 + 2
x = 10

y = - 3
x = 8 + y
x = 8 - 3
x = 5

R.: x = 5 e y = - 3  ou x = 10 e y = 2