24=-0.01x^2+1.10x

Solution for 24=-0.01x^2+1.10x equation:

24=-0.01x^2+1.10x

We move all terms to the left:

24-(-0.01x^2+1.10x)=0

We get rid of parentheses

0.01x^2-1.10x+24=0

We add all the numbers together, and all the variables

0.01x^2-1.1x+24=0

a = 0.01; b = -1.1; c = +24;
Δ = b2-4ac
Δ = -1.12-4·0.01·24
Δ = 0.25
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{-(-1.1)-\sqrt{0.25}}{2*0.01}=\frac{1.1-\sqrt{0.25}}{0.02}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.1)+\sqrt{0.25}}{2*0.01}=\frac{1.1+\sqrt{0.25}}{0.02}
$