Question

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(x-4)²=81






(x-4)²=81

responda

Answer 1

(x-4)²=81

(x-4).(x-4)=81

(x)²+2.(-4).(x)+(-4)²=81

x²-8x+16=81

x²-8x+16-81=0

x²-8x-65=0

a=1

b=-8

c=-65

∆=b²-4.a.c

∆=(-8)²-4.(1).(-65)

∆=64+260

∆=324

x'=[-(-8)+√324]/2.(1)

x'=[8+18]/2

x'=26/2

x'=13

x"=[-(-8)-√324]/2.(1)

x"=[8-18]/2

x"=-10/2

x"=-5

Solução :

S={ -5 ; 13}

Espero ter ajudado!