24=a*a+1*a+2

Solution for 24=a*a+1*a+2 equation:

24=a*a+1a+2

We move all terms to the left:

24-(a*a+1a+2)=0

We add all the numbers together, and all the variables

-(a+a*a+2)+24=0

We get rid of parentheses

-a-a*a-2+24=0

We add all the numbers together, and all the variables

-1a-a*a+22=0

Wy multiply elements

-1a^2-1a+22=0

a = -1; b = -1; c = +22;
Δ = b2-4ac
Δ = -12-4·(-1)·22
Δ = 89
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{89}}{2*-1}=\frac{1-\sqrt{89}}{-2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{89}}{2*-1}=\frac{1+\sqrt{89}}{-2}
$