[tex]Y= x^2 -5[/tex]
We need to solve for x, we need to get x alone
[tex]Y= x^2 -5[/tex]
Lets start by removing -5
Add 5 on both sides
[tex]y + 5= x^2 -5 + 5[/tex]
[tex]y + 5= x^2[/tex]
Now to isolate x , we need to remove the square from x
To remove square , take square root on both sides
[tex]+-\sqrt{y+5} = \sqrt{x^2}[/tex]
square and square root will get cancelled
[tex]+-\sqrt{y+5} = x[/tex]
So [tex]x = +\sqrt{y+5}[/tex] and [tex]x = -\sqrt{y+5}[/tex]