Question

Resolva a inequação modular | X-3] < 2*

Answer 1

Resposta:

(x+3).(x+3)

x.x= x²

x.3= 3x

3.x= 3x

3.3=9

x²+3x+3x+9 =

x²+6x+9=0

a= 1 b= 6 x=9

delta= b² +4.a.c

delta= 6²+4.1.9

delta= 36+36

delta = 72

x' = -(b) + \sqrt{delta}

delta

/ 2.a

x'= - 6 + 6\sqrt{2}

2

/2.1

x' = -3 + 6\sqrt{2}

2

x" = -(b) - \sqrt{delta}

delta

/ 2.a

x" = -6 -6\sqrt{2}

2

/ 2

x' = -3 -6\sqrt{2}

2