X^2+x^2=5.90

Solution for X^2+x^2=5.90 equation:

X^2+X^2=5.90

We move all terms to the left:

X^2+X^2-(5.90)=0

We add all the numbers together, and all the variables

X^2+X^2-(5.9)=0

We add all the numbers together, and all the variables

2X^2-5.9=0

a = 2; b = 0; c = -5.9;
Δ = b2-4ac
Δ = 02-4·2·(-5.9)
Δ = 47.2
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{47.2}}{2*2}=\frac{0-\sqrt{47.2}}{4}
=-\frac{\sqrt{}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{47.2}}{2*2}=\frac{0+\sqrt{47.2}}{4}
=\frac{\sqrt{}}{4}
$