X2+x2=34.81

Solution for X2+x2=34.81 equation:

X2+X2=34.81

We move all terms to the left:

X2+X2-(34.81)=0

We add all the numbers together, and all the variables

2X^2-34.81=0

a = 2; b = 0; c = -34.81;
Δ = b2-4ac
Δ = 02-4·2·(-34.81)
Δ = 278.48
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{278.48}}{2*2}=\frac{0-\sqrt{278.48}}{4}
=-\frac{\sqrt{}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{278.48}}{2*2}=\frac{0+\sqrt{278.48}}{4}
=\frac{\sqrt{}}{4}
$