Answer:
x = n - m
Step-by-step explanation:
To solve for x we have to isolate it.
[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]
First, let's subtract [tex]m^{2}[/tex] from both sides of the equation:
[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] - [tex]m^{2}[/tex] = [tex]n^{2}[/tex] - [tex]m^{2}[/tex]
Now the equation looks like this: [tex]x^{2} \\[/tex] = [tex]n^{2}[/tex] - [tex]m^{2}[/tex]
Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]
The square root and the exponents cancel out on both sides and you're left with: x = n - m
To solve for x the equation is: x = n - m
I hope this helps! :)
