x2-27x+182=0

Solution for x2-27x+182=0 equation:

x2-27x+182=0

We add all the numbers together, and all the variables

x^2-27x+182=0

a = 1; b = -27; c = +182;
Δ = b2-4ac
Δ = -272-4·1·182
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-1}{2*1}=\frac{26}{2}
=13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+1}{2*1}=\frac{28}{2}
=14
$