-4.9x^2-1.8x+14=0

Solution for -4.9x^2-1.8x+14=0 equation:

-4.9x^2-1.8x+14=0

a = -4.9; b = -1.8; c = +14;
Δ = b2-4ac
Δ = -1.82-4·(-4.9)·14
Δ = 277.64
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{-(-1.8)-\sqrt{277.64}}{2*-4.9}=\frac{1.8-\sqrt{277.64}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.8)+\sqrt{277.64}}{2*-4.9}=\frac{1.8+\sqrt{277.64}}{-9.8}
$