4.9x2-29.59x+1.35=0

Solution for 4.9x2-29.59x+1.35=0 equation:

4.9x^2-29.59x+1.35=0

a = 4.9; b = -29.59; c = +1.35;
Δ = b2-4ac
Δ = -29.592-4·4.9·1.35
Δ = 849.1081
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{849.1081}}{2*4.9}=\frac{29.59-\sqrt{849.1081}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29.59)+\sqrt{849.1081}}{2*4.9}=\frac{29.59+\sqrt{849.1081}}{9.8}
$