Solve for x in this one math equation!

I posted this once, I'm just looking for different answers. Show work please.

x^2 + 650^2 = 825^2

Also, tell me how sure you are that it's the right answer! Thanks!

x^2+650^2=680625

x^2+422500=680625
x^2+422500-422500=680625-422500

x^2=258125
sqrt x^2=sq rt 258125
x=+/- 508.06

the reason it is +/- is when you square the number negatively and positively you have the same solution 258124.96 ~258125 so 508.06 is estimated the actual answer would be sq rt 258125

x^2 + 650^2 = 825^2
x^2+422500=680625
x^2= 680625 - 422500
x^2 = 258125
x= ± √(258125)
x= ± √(413 * 625)
x=± 25√(413)

x= 25√(413), - 25√(413) answer//


-/+ means plus or minus..//

First the equation is
x^2 + 650^2 = 825^2
then
x^2 = 258125

x^2=25^2 times 413
taking the square root

x = 25 times square root of 413
thats it..

x^2 = 825^2-650^2
x^2=(825-650)(825+650)
x^2=(175)(1475)=(25*7)(25*59)
x^2=25^2*7*51=25^2*413
x=+-25√413
im very sure

transposing we get
x^2 = 825^2 - 650^2= 258125
x= +/-508.06

x^2 + 422500 = 680625
x^2 = 258125
x = +/-508.06

99% sure