4.905x^2-2.74x-12=0

Solution for 4.905x^2-2.74x-12=0 equation:

4.905x^2-2.74x-12=0

a = 4.905; b = -2.74; c = -12;
Δ = b2-4ac
Δ = -2.742-4·4.905·(-12)
Δ = 242.9476
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{-(-2.74)-\sqrt{242.9476}}{2*4.905}=\frac{2.74-\sqrt{242.9476}}{9.81}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.74)+\sqrt{242.9476}}{2*4.905}=\frac{2.74+\sqrt{242.9476}}{9.81}
$