Question

x+2/2 + x+2/4 + x+2/8 = ×

Answer 1

Resposta:

${x+2\over2}+{x+2\over4}+{x+2\over8}=x\\ \\ mmc(2,4,8)=8\\ \\ 4(x+2)+2(x+2)+x+2=8x\\ \\ 4x+8+2x+4+x+2=8x\\ \\ 4x+2x+x+8+4+2=8x\\ \\ 7x+14=8x\\ \\ 7x-8x=-14\\ \\ -x=-14\\ \\ x=14\\ \\ S=\{14\}$

Answer 2

Resposta:

x = 14

Explicação passo-a-passo:

x+2/2 + x+2/4 + x+2/8 = × ⇒ o mmc de (2, 4, 8) = 8

4(x + 2) + 2(x + 2) + x + 2 = 8x

4x + 8 + 2x + 4 + x + 2 = 8x

7x + 14 = 8x

7x - 8x = - 14

- x = - 14 ⇒ ( - 1)

x = 14

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