13x^2-x-26=0

Solution for 13x^2-x-26=0 equation:

13x^2-x-26=0

We add all the numbers together, and all the variables

13x^2-1x-26=0

a = 13; b = -1; c = -26;
Δ = b2-4ac
Δ = -12-4·13·(-26)
Δ = 1353
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{1353}}{2*13}=\frac{1-\sqrt{1353}}{26}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{1353}}{2*13}=\frac{1+\sqrt{1353}}{26}
$