-4.9x^2+9.5x+29=0

Solution for -4.9x^2+9.5x+29=0 equation:

-4.9x^2+9.5x+29=0

a = -4.9; b = 9.5; c = +29;
Δ = b2-4ac
Δ = 9.52-4·(-4.9)·29
Δ = 658.65
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{-(9.5)-\sqrt{658.65}}{2*-4.9}=\frac{-9.5-\sqrt{658.65}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9.5)+\sqrt{658.65}}{2*-4.9}=\frac{-9.5+\sqrt{658.65}}{-9.8}
$