-4.9x^2-4.5x+14=0

Solution for -4.9x^2-4.5x+14=0 equation:

-4.9x^2-4.5x+14=0

a = -4.9; b = -4.5; c = +14;
Δ = b2-4ac
Δ = -4.52-4·(-4.9)·14
Δ = 294.65
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{-(-4.5)-\sqrt{294.65}}{2*-4.9}=\frac{4.5-\sqrt{294.65}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.5)+\sqrt{294.65}}{2*-4.9}=\frac{4.5+\sqrt{294.65}}{-9.8}
$