Question

I need the x intercept and i know it's (0,0) because my factoring is no solution, but how do i prove that?

Answer 1

What do you mean your factoring is no solution?

Answer 2

\[y=x ^{2}\sqrt{9-x ^{2}}\]

Answer 3

or at least i think it's no solution. i know it's (0,0) b/c of the calculator, but my work isn't proving it

Answer 4

Ok,so the x intercept being zero means y = 0.
\[0=x^2 \sqrt{9-x^2}\]\[\implies \begin{array}{ccc} x^2 = 0 &\text{or} & 9-x^2\end{array} = 0\]

Answer 5

So either x = 0 or x = 3

Answer 6

Both of those are x intercepts

Answer 7

shoudnt it be \[\pm3\]

Answer 8

That's right

Answer 9

okay just checkin.