Question

Resolva as equações
3^x²+1=243
5^x(x+1)=25

Answer 1

3^(x²+1) = 243
3^(x²+1) = 3^5
x²+1 = 5
x² = 5 - 1
x² = 4
x = 2

5^x(x+1) = 25
5^(x²+x) = 5^2
x²+x = 2
x²+x-2 = 0
Δ = 1² - 4.1.(-2)
Δ = 1 + 8
Δ = 9
x = (-1+/-√9)/2
x = (-1+/-3)/2
x' = (-1+3)/2 = 2/2 = 1
x" = (-1-3)/2 = -4/2 = -2