Question

(x+1)elevado a 2= 7+x

Answer 1

Bom dia

(x+1)² = 7+x
x²+2x+1 = 7+x
x²+2x+1-7-x
x²+x-6

Equação 2 grau,após,é só usar o Bhaskara:

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

x=-1+-√25/2.1

x=-1+-5/2

x' = -1 + 5/2                        x" = - 1 - 5/2
x' = 4/2                               x" = - 6/2
x' = 2                                  x" = - 3    

CS={2 ,-3}

Answer 2

(x+1)² = 7+x

(x+1)(x+1) = 7+x

x² +x +x + 1 = 7+X

x²+2x+1 = 7+x

x²+2x+1-7-x = 0

x²+x-6 = 0