3^(4x+3)<(1/9)^(x^2/2)

Question

3^(4x+3)<(1/9)^(x^2/2)

Answer 1

3^(4x+3)<3^(-x^2/2)</p>

4x+3<-x^2/2</p>

x²/2+4x+3<0</p>

x²+8x+6<0</p>

D=8²-4*1*6=64-24=40

x1=-4-√10

x2=-4+√10

x∈(-4-√10;-4+√10)