-4.9x^2-33x+1=0

Solution for -4.9x^2-33x+1=0 equation:

-4.9x^2-33x+1=0

a = -4.9; b = -33; c = +1;
Δ = b2-4ac
Δ = -332-4·(-4.9)·1
Δ = 1108.6
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{-(-33)-\sqrt{1108.6}}{2*-4.9}=\frac{33-\sqrt{1108.6}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+\sqrt{1108.6}}{2*-4.9}=\frac{33+\sqrt{1108.6}}{-9.8}
$