X^2+-58x+841=0

Solution for X^2+-58x+841=0 equation:

X^2+-58X+841=0

We add all the numbers together, and all the variables

X^2-58X=0

a = 1; b = -58; c = 0;
Δ = b2-4ac
Δ = -582-4·1·0
Δ = 3364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3364}=58$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-58)-58}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-58)+58}{2*1}=\frac{116}{2}
=58
$