Question

Determine o valor de x

Answer 1

(x+2)²=(x+1)²+x²     -> Usando Teorema de Pitágoras
(x+2)(x+2)=(x+1)(x+1)+x²
x²+2x+2x+4=x²+x+x+1+x²
x²+4x+4=2x²+2x+1
2x²-x²+2x-4x+1-4=0
x²-2x-3=0
(x+1)(x-3)=0
x'=-1
x''=3

Resposta: letra d)x=3

Answer 2

x=3
x+1=4
x+2=5
Logo, X=3