Question

How to solve this equation?
f(x)=5-x²​

Answer 1

`x=\sqrt5\text{ and } x=-\sqrt5`

Explanation:

To solve for the 0s of a function, set the function to 0 and solve for the x. Therefore:

`f(x)=5-x^2`

Set f(x) to 0:

`0=5-x^2`

Add x^2 to both sides:

`x^2=5`

Take the square root of both sides:

`x=\pm√(5)`

So, our solutions are:

`x=\sqrt5\text{ and } x=-\sqrt5`