4.9x2-29.59x+2=0

Solution for 4.9x2-29.59x+2=0 equation:

4.9x^2-29.59x+2=0

a = 4.9; b = -29.59; c = +2;
Δ = b2-4ac
Δ = -29.592-4·4.9·2
Δ = 836.3681
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{-(-29.59)-\sqrt{836.3681}}{2*4.9}=\frac{29.59-\sqrt{836.3681}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29.59)+\sqrt{836.3681}}{2*4.9}=\frac{29.59+\sqrt{836.3681}}{9.8}
$