5x2-116x+23=0

Solution for 5x2-116x+23=0 equation:

5x^2-116x+23=0

a = 5; b = -116; c = +23;
Δ = b2-4ac
Δ = -1162-4·5·23
Δ = 12996
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12996}=114$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-116)-114}{2*5}=\frac{2}{10}
=1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-116)+114}{2*5}=\frac{230}{10}
=23
$