x=26x2-2

Solution for x=26x2-2 equation:

x=26x^2-2

We move all terms to the left:

x-(26x^2-2)=0

We get rid of parentheses

-26x^2+x+2=0

a = -26; b = 1; c = +2;
Δ = b2-4ac
Δ = 12-4·(-26)·2
Δ = 209
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{209}}{2*-26}=\frac{-1-\sqrt{209}}{-52}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{209}}{2*-26}=\frac{-1+\sqrt{209}}{-52}
$