solve the equation:3(x-2)^2-12=0

Answer 1

3 ( x - 2 ) ^ 2 - 12 = 0 Divide both sides by 3

3 ( x - 2 ) ^ 2 / 3 - 12 / 3 = 0 / 3

( x - 2 ) ^ 2 - 4 = 0 Add 4 to both sides

( x - 2 ) ^ 2 - 4 + 4 = 0 + 4

( x - 2 ) ^ 2 = 4 Take square root of both sides

x - 2 = + OR - sqroot ( 4 )

x - 2 = + OR - 2

1 solution :

x - 2 = - 2 Add 2 to both sides

x - 2 + 2 = - 2 + 2

x = 0

2 solution :

x - 2 = 2 Add 2 to both sides

x - 2 + 2 = 2 + 2

x = 4

The solutions are :

x = 0 and x = 4