x^2+x^2=2.89

Solution for x^2+x^2=2.89 equation:

x^2+x^2=2.89

We move all terms to the left:

x^2+x^2-(2.89)=0

We add all the numbers together, and all the variables

2x^2-2.89=0

a = 2; b = 0; c = -2.89;
Δ = b2-4ac
Δ = 02-4·2·(-2.89)
Δ = 23.12
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{23.12}}{2*2}=\frac{0-\sqrt{23.12}}{4}
=-\frac{\sqrt{}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{23.12}}{2*2}=\frac{0+\sqrt{23.12}}{4}
=\frac{\sqrt{}}{4}
$