Question

x elevado 2 + (x+1 elevado a 2) =25

Answer 1

x² + (x+1)² = 25
x² + x² + 2x + 1 - 25 = 0
2x² + 2x - 24 = 0
x² + x - 12 = 0
Δ = 1² - 4.1.(-12)
Δ = 1 + 48
Δ = 49
x =(-1-7)/2 = -4 ou
x = ( -1+7)/2 = 3

S = { -4, 3 }

Answer 2

x² + (x + 1)² = 25
x² + x² + 2 x + 1 = 25
2 x² + 2 x + 1 - 25 = 0
2 x² + 2 x -24 = 0
Δ = b² - 4 . a . c
Δ = 2² - 4 . 2 . - 24
Δ = 4 + 192
Δ = 196 ⇒√196 ⇒14
x = -b +ou- 14 /2.2
x´= - 2 + ou- 14 / 4
x´= -2 + 14 / 4
x´= 12/4
x´= 3
x´´ = -2 - 14 /4
x´´ = -16 / 4
x´´ = -4
S = {-4 , 3}