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.