0=-4.9x^2+900x+2.4

Solution for 0=-4.9x^2+900x+2.4 equation:

0=-4.9x^2+900x+2.4

We move all terms to the left:

0-(-4.9x^2+900x+2.4)=0

We add all the numbers together, and all the variables

-(-4.9x^2+900x+2.4)=0

We get rid of parentheses

4.9x^2-900x-2.4=0

a = 4.9; b = -900; c = -2.4;
Δ = b2-4ac
Δ = -9002-4·4.9·(-2.4)
Δ = 810047.04
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{-(-900)-\sqrt{810047.04}}{2*4.9}=\frac{900-\sqrt{810047.04}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-900)+\sqrt{810047.04}}{2*4.9}=\frac{900+\sqrt{810047.04}}{9.8}
$