which of the following correctly solves for x in the equation 3x^1/2 +9=18

Question

1)12
2)0
3)9
4)3

Answer 1

To solve the equation \( 3x^{1/2} + 9 = 18 \), follow these steps:

1. Subtract 9 from both sides: \[ 3x^{1/2} = 18 - 9 \] \[ 3x^{1/2} = 9 \]

2. Divide both sides by 3: \[ x^{1/2} = \frac{9}{3} \] \[ x^{1/2} = 3 \]

3. Square both sides to solve for \( x \): \[ x = 3^2 \] \[ x = 9 \]

Thus, the correct solution for \( x \) is \( 9 \).

The answer is: 3) 9.