Explicación paso a paso:
1)
[tex](x + 2) {}^{2} = x {}^{2} + 4x + 4[/tex]
[tex](x - 2) {}^{2} = x { }^{2} - 4x + 4[/tex]
Reemplazando en
[tex](x + {2)}^{2} = 32 + (x - 2) {}^{2} [/tex]
[tex]x {}^{2} + 4x + 4 = 32 + x {}^{2} + - 4x + 4 [/tex]
[tex]8x = 32[/tex]
[tex]x = 4[/tex]