To solve for x in the equation 3x2 = 18, we begin by isolating the variable x. Start by dividing both sides of the equation by 3:
x2 = 6
Next, to find the value of x, we take the square root of both sides. Remember that when we take the square root, we should consider both the positive and negative roots:
x = ±√6
Therefore, the solutions for x are approximately:
x ≈ 2.45 and x ≈ -2.45
In conclusion, the values of x that satisfy the equation 3x2 = 18 are ±√6.