0.26-x=x*x

Solution for 0.26-x=x*x equation:

0.26-x=x*x

We move all terms to the left:

0.26-x-(x*x)=0

We add all the numbers together, and all the variables

-x-(+x*x)+0.26=0

We add all the numbers together, and all the variables

-1x-(+x*x)+0.26=0

We get rid of parentheses

-1x-x*x+0.26=0

Wy multiply elements

-1x^2-1x+0.26=0

a = -1; b = -1; c = +0.26;
Δ = b2-4ac
Δ = -12-4·(-1)·0.26
Δ = 2.04
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{-(-1)-\sqrt{2.04}}{2*-1}=\frac{1-\sqrt{2.04}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{2.04}}{2*-1}=\frac{1+\sqrt{2.04}}{-2}
$