0.61x^2-0.041x-24711=0

Solution for 0.61x^2-0.041x-24711=0 equation:

0.61x^2-0.041x-24711=0

a = 0.61; b = -0.041; c = -24711;
Δ = b2-4ac
Δ = -0.0412-4·0.61·(-24711)
Δ = 60294.841681
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{-(-0.041)-\sqrt{60294.841681}}{2*0.61}=\frac{0.041-\sqrt{60294.841681}}{1.22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.041)+\sqrt{60294.841681}}{2*0.61}=\frac{0.041+\sqrt{60294.841681}}{1.22}
$