4.9x^2-96.41x-500=0

Solution for 4.9x^2-96.41x-500=0 equation:

4.9x^2-96.41x-500=0

a = 4.9; b = -96.41; c = -500;
Δ = b2-4ac
Δ = -96.412-4·4.9·(-500)
Δ = 19094.8881
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{-(-96.41)-\sqrt{19094.8881}}{2*4.9}=\frac{96.41-\sqrt{19094.8881}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-96.41)+\sqrt{19094.8881}}{2*4.9}=\frac{96.41+\sqrt{19094.8881}}{9.8}
$