How do you solve 3x^2 - 6 = 48?

x=±3 sqrt (2)

Step-by-step explanation:

3x^2 - 6 = 48

Add 6 to each side

3x^2 - 6+6 = 48+6

3x^2 = 54

Divide each side by 3

3x^2/3 = 54/3

x^2 = 18

Take the square root of each side

sqrt (x^2) = sqrt (18)

x = sqrt (18)

We know sqrt (ab) = sqrt (a) sqrt (b)

x = sqrt (9) sqrt (2)

x=±3 sqrt (2)