X2+y2=425

Solution for X2+y2=425 equation:

X2+X2=425

We move all terms to the left:

X2+X2-(425)=0

We add all the numbers together, and all the variables

2X^2-425=0

a = 2; b = 0; c = -425;
Δ = b2-4ac
Δ = 02-4·2·(-425)
Δ = 3400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3400}=\sqrt{100*34}=\sqrt{100}*\sqrt{34}=10\sqrt{34}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{34}}{2*2}=\frac{0-10\sqrt{34}}{4}
=-\frac{10\sqrt{34}}{4}
=-\frac{5\sqrt{34}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{34}}{2*2}=\frac{0+10\sqrt{34}}{4}
=\frac{10\sqrt{34}}{4}
=\frac{5\sqrt{34}}{2}
$