24x-x^2=-4.9

Solution for 24x-x^2=-4.9 equation:

24x-x^2=-4.9

We move all terms to the left:

24x-x^2-(-4.9)=0

We add all the numbers together, and all the variables

-1x^2+24x+4.9=0

a = -1; b = 24; c = +4.9;
Δ = b2-4ac
Δ = 242-4·(-1)·4.9
Δ = 595.6
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{-(24)-\sqrt{595.6}}{2*-1}=\frac{-24-\sqrt{595.6}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+\sqrt{595.6}}{2*-1}=\frac{-24+\sqrt{595.6}}{-2}
$