X^2+x^2=11.3

Solution for X^2+x^2=11.3 equation:

X^2+X^2=11.3

We move all terms to the left:

X^2+X^2-(11.3)=0

We add all the numbers together, and all the variables

2X^2-11.3=0

a = 2; b = 0; c = -11.3;
Δ = b2-4ac
Δ = 02-4·2·(-11.3)
Δ = 90.4
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{90.4}}{2*2}=\frac{0-\sqrt{90.4}}{4}
=-\frac{\sqrt{}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{90.4}}{2*2}=\frac{0+\sqrt{90.4}}{4}
=\frac{\sqrt{}}{4}
$