Answer
x = $\frac{1}{2}$
Work Step by Step
Another word for zeros is the x-intercept. An x-intercept is where the line crosses the x-axis. For this to happen, the y-value must be 0, so to find the zeros of the function, the equation must equal 0.
0 = $\sqrt {2x}$ - 1
Overall, we want to separate the x from all other constants. The first step would be to add 1 to each side.
0 + 1 = $\sqrt {2x}$ - 1 + 1
This gets:
1 = $\sqrt {2x}$
We then want to get rid of the square root. We can do this by squaring both sides.
$1^{2}$ = $(\sqrt {2x})^{2}$
This gets:
1 = 2x
We then want to divide both sides by 2 to get the x alone.
$\frac{1}{2}$ = $\frac{2x}{2}$
This gets:
$\frac{1}{2}$ = x
Since x = $\frac{1}{2}$ when y = 0, x = $\frac{1}{2}$ is a zero of the function.
