X2-23x+81=0

Solution for X2-23x+81=0 equation:

X2-23X+81=0

We add all the numbers together, and all the variables

X^2-23X+81=0

a = 1; b = -23; c = +81;
Δ = b2-4ac
Δ = -232-4·1·81
Δ = 205
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{-(-23)-\sqrt{205}}{2*1}=\frac{23-\sqrt{205}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+\sqrt{205}}{2*1}=\frac{23+\sqrt{205}}{2}
$