Question

Resolva a equação exponencial (foto) ​

Answer 1

Explicação passo-a-passo:

2^x²-5x +2= 1/4

2^x²-5x +2= 1/2²

2^x²-5x +2= 2-²

x² -5x +2= -2

x² -5x +2+2=0

x² -5x +4=0

∆= (-5)²-4.1.4

∆= 25 - 16

∆=9

x= -(-5)±√9/2.1

x= 5 ±3/2

x1= 5+3/2

x1= 8/2

x1= 4

x2= 5-3/2

x2= 2/2

x2=1