Question

Como resolver: 3√x+6=x+2 ?

Answer 1

$3 \sqrt{x+6}=x+2 \\ \\ \sqrt{x+6} = \frac{x+2}{3} \\ \\ ( \sqrt{x+6})^2 = (\frac{x+2}{3} )^2 \\ \\ x+6= \frac{x^2+4x+4}{9} \\ \\ 9x+54=x^2+4x+4 \\ \\ x^2-5x-50=0$

Eq. do segundo grau taca baskaras que vc vai achar duas respostas possiveis x=10 ou x= -5

Answer 2

3√x= x+2-6

(3√x)²=(x-4)²

9x=x²-8x +16

x²-8x-9x+16=0

x²-17x +16=0

Δ=289-64=225   √Δ=15

x=(17+15)/2=32/2=16

x= (17-15)/2= 2/2=1

verificação  em  3√x+6=x+2

p/ x=16                                     p/x=1

3√16+6=16+2                                 3√1+6=1+2

12+6=18                                            3+6=3

18=18  (serve)                                        9≠3  n/ serve            S={16}

3√x