-4.9x^2+13.54x+35=0

Solution for -4.9x^2+13.54x+35=0 equation:

-4.9x^2+13.54x+35=0

a = -4.9; b = 13.54; c = +35;
Δ = b2-4ac
Δ = 13.542-4·(-4.9)·35
Δ = 869.3316
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{-(13.54)-\sqrt{869.3316}}{2*-4.9}=\frac{-13.54-\sqrt{869.3316}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13.54)+\sqrt{869.3316}}{2*-4.9}=\frac{-13.54+\sqrt{869.3316}}{-9.8}
$