X^2-x-230=0

Solution for X^2-x-230=0 equation:

X^2-X-230=0

We add all the numbers together, and all the variables

X^2-1X-230=0

a = 1; b = -1; c = -230;
Δ = b2-4ac
Δ = -12-4·1·(-230)
Δ = 921
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{921}}{2*1}=\frac{1-\sqrt{921}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{921}}{2*1}=\frac{1+\sqrt{921}}{2}
$