-4.9x^2+37.3x+115=0

Solution for -4.9x^2+37.3x+115=0 equation:

-4.9x^2+37.3x+115=0

a = -4.9; b = 37.3; c = +115;
Δ = b2-4ac
Δ = 37.32-4·(-4.9)·115
Δ = 3645.29
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{-(37.3)-\sqrt{3645.29}}{2*-4.9}=\frac{-37.3-\sqrt{3645.29}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37.3)+\sqrt{3645.29}}{2*-4.9}=\frac{-37.3+\sqrt{3645.29}}{-9.8}
$