16.9705627485^2=x^2+x^2

Solution for 16.9705627485^2=x^2+x^2 equation:

16.9705627485^2=x^2+x^2

We move all terms to the left:

16.9705627485^2-(x^2+x^2)=0

We add all the numbers together, and all the variables

-(x^2+x^2)+288.00000000078=0

We get rid of parentheses

-x^2-x^2+288.00000000078=0

We add all the numbers together, and all the variables

-2x^2+288.00000000078=0

a = -2; b = 0; c = +288.00000000078;
Δ = b2-4ac
Δ = 02-4·(-2)·288.00000000078
Δ = 2304.0000000062
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{2304.0000000062}}{2*-2}=\frac{0-\sqrt{2304.0000000062}}{-4}
=-\frac{\sqrt{}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{2304.0000000062}}{2*-2}=\frac{0+\sqrt{2304.0000000062}}{-4}
=\frac{\sqrt{}}{-4}
$