Question

alguém consegue resolver aí??​

Answer 1

Explicação passo-a-passo:

x + 1/x = 5/2

x² + 1

_____= 5/2

x

x² + 1 = 5/2x

x² - 5/2x +1= 0

a= 1

b= -5/2

c= 1

∆= (-5/2)² - 4.1.1

∆= 25/4 - 4

∆= 25 - 16

______

4

∆= 9/4

x = - (-5/2) ±√9/4

___________

2.1

x= 5/2±3/2

______

2

x1= 5/2 - 3/2

_______

2

x1= 2/2

___

2

x1= 1/2

x2= 5/2 +3/2

_______

2

x2= 8/2

___

2

x2= 4/2

x2= 2

S = { 1/2 , 2}