0+17.32x-4.9x^2=0

Solution for 0+17.32x-4.9x^2=0 equation:

0+17.32x-4.9x^2=0

We add all the numbers together, and all the variables

-4.9x^2+17.32x=0

a = -4.9; b = 17.32; c = 0;
Δ = b2-4ac
Δ = 17.322-4·(-4.9)·0
Δ = 299.9824
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{-(17.32)-\sqrt{299.9824}}{2*-4.9}=\frac{-17.32-\sqrt{299.9824}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17.32)+\sqrt{299.9824}}{2*-4.9}=\frac{-17.32+\sqrt{299.9824}}{-9.8}
$