24=-0.05x^2+1.7x+24

Solution for 24=-0.05x^2+1.7x+24 equation:

24=-0.05x^2+1.7x+24

We move all terms to the left:

24-(-0.05x^2+1.7x+24)=0

We get rid of parentheses

0.05x^2-1.7x-24+24=0

We add all the numbers together, and all the variables

0.05x^2-1.7x=0

a = 0.05; b = -1.7; c = 0;
Δ = b2-4ac
Δ = -1.72-4·0.05·0
Δ = 2.89
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{-(-1.7)-\sqrt{2.89}}{2*0.05}=\frac{1.7-\sqrt{2.89}}{0.1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.7)+\sqrt{2.89}}{2*0.05}=\frac{1.7+\sqrt{2.89}}{0.1}
$