Question

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

Answer 1

x=±3 sqrt(2)

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)