Answer:
[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]
Step-by-step explanation:
To solve for the 0s of a function, set the function to 0 and solve for the x. Therefore:
[tex]f(x)=5-x^2[/tex]
Set f(x) to 0:
[tex]0=5-x^2[/tex]
Add x^2 to both sides:
[tex]x^2=5[/tex]
Take the square root of both sides:
[tex]x=\pm\sqrt{5}[/tex]
So, our solutions are:
[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]
