x^2-79x+1=0

Solution for x^2-79x+1=0 equation:

x^2-79x+1=0

a = 1; b = -79; c = +1;
Δ = b2-4ac
Δ = -792-4·1·1
Δ = 6237
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6237}=\sqrt{81*77}=\sqrt{81}*\sqrt{77}=9\sqrt{77}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-79)-9\sqrt{77}}{2*1}=\frac{79-9\sqrt{77}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+9\sqrt{77}}{2*1}=\frac{79+9\sqrt{77}}{2}
$