X2-27x+6=0

Solution for X2-27x+6=0 equation:

X2-27X+6=0

We add all the numbers together, and all the variables

X^2-27X+6=0

a = 1; b = -27; c = +6;
Δ = b2-4ac
Δ = -272-4·1·6
Δ = 705
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{-(-27)-\sqrt{705}}{2*1}=\frac{27-\sqrt{705}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+\sqrt{705}}{2*1}=\frac{27+\sqrt{705}}{2}
$