4.9x^2+2.3x-59=0

Solution for 4.9x^2+2.3x-59=0 equation:

4.9x^2+2.3x-59=0

a = 4.9; b = 2.3; c = -59;
Δ = b2-4ac
Δ = 2.32-4·4.9·(-59)
Δ = 1161.69
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{-(2.3)-\sqrt{1161.69}}{2*4.9}=\frac{-2.3-\sqrt{1161.69}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.3)+\sqrt{1161.69}}{2*4.9}=\frac{-2.3+\sqrt{1161.69}}{9.8}
$