-4.9x^2+361x+353=0

Solution for -4.9x^2+361x+353=0 equation:

-4.9x^2+361x+353=0

a = -4.9; b = 361; c = +353;
Δ = b2-4ac
Δ = 3612-4·(-4.9)·353
Δ = 137239.8
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{-(361)-\sqrt{137239.8}}{2*-4.9}=\frac{-361-\sqrt{137239.8}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(361)+\sqrt{137239.8}}{2*-4.9}=\frac{-361+\sqrt{137239.8}}{-9.8}
$