Question

A) 25×+1=125 B) 6×-3×-4=1​

Answer 1

Explicação passo-a-passo:

A)

25^(×+1)=125

5^2.(x+1)=5^3

2.(x+1)=3

2x+2=3

2x=3-2

2x=1

x=1/2

B)

6^(x²-3×-4)=1

6^(x²-3x-4)=5^0

x²-3x-4=0

a=1

b=-3

c=-4

∆=b²-4.a.c

∆=(-3)²-4.(1).(-4)

∆=9+16

∆=25

x'=[-(-3)+√25]/2.(1)

x'=[3+5]/2

x'=8/2

x'=4

x"=[-(-3)-√25]/2.(1)

x"=[3-5]/2

x"=-2/2

x"=-1

Solução : S={(-1 , 4)}