Question

Como resolver?
x²= 136 - 96√2

Answer 1

$x^{2}=136-96\sqrt{2}$

Colocando 4 em evidência:

$x^{2}=4*(34-24\sqrt{2})\\x=\pm\sqrt{4*(34-24\sqrt{2})}\\x=\pm\sqrt{4}*\sqrt{(34-2\sqrt{2})}\\x=\pm2\sqrt{34-2\sqrt{2}}$
______________

$x'=2\sqrt{34-24\sqrt{2}}\\\\x''=-2\sqrt{34-24\sqrt{2}}$

Answer 2

x²= 136 - 96√2

x²= 136 - 96.(1,41)

x²= 136 - 135,36

x²= 0,64

x = +/- √0,64

x = +/- 0,8