Question

How to solve this equation?f(x)=5-x²​

Answer 1

Answer:

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

Step-by-step 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:

$x=\pm\sqrt{5}$

So, our solutions are:

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