Question

Resolver as equações modulares.

a) | x-8 |=10

b) |2x+4|=x+2

Answer 1

A) |x-8|=10 8x=10 X=10:8 X=1 B)|2x+4|=x+2 6x=3x X=2x Pirei na B KKk

Answer 2

A)    | x-8 |=10      x - 8 = 10  ou x - 8 = -10

x - 8 = 10
x = 10 + 8
x = 18

x - 8 = -10
x = -10 +8
x = -2

S = {-2;18}

B) |2x+4|=x+2

2 x + 4 = x+2 ou 2x +4 = -(x+2)

2 x + 4 = x + 2
2x -x = 2 - 4
x = -2

2x + 4 = - (x+2)
2x + 4 = -x -2
2x + x = -2 -4
3X = - 6
x = -2
 
s = {-2}