Question

PRECISO DA RESPOSTA!!!!!

1. Se $x_{1}$ e $x_{2}$ são raízes de $x^{2} - 12\sqrt{2x} +32=0$, o valor de $x_{1}^{2} + x_{2}^{2}$ é:

A) 144
B) 192
C) 214
D) 224
E)240

Answer 1

x²-12√2x+32=0

a=1

b=-12√2

c=32

___

12.√2=(12).(1,42) ≈ 17

∆=b²-4.a.c

∆=(17)²-4.(1).(32)

∆=289-128

∆=161

√161=12,7

x'=-17+12,7/2=4,3/2=2,15

x"=-17-12,7/2=29,7/2=14,85

x'²+x"²=(2,15)²+(14,85)²

x'²+x"²=4+(220)

x'²+x"²=224

alternativa D*