Answer:
A quadratic equation can be written as:
a*x^2 + b*x + c = 0.
where a, b and c are real numbers.
The solutions of this equation can be found by the equation:
![x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%2B-%20%5Csqrt%7Bb%5E2%20-%204%2Aa%2Ac%7D%20%7D%7B2%2Aa%7D)
Where the determinant is D = b^2 - 4*a*c.
Now, if D>0
we have the square root of a positive number, which will be equal to a real number.
√D = R
then the solutions are:
![x = \frac{-b +- R }{2*a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%2B-%20R%20%7D%7B2%2Aa%7D)
Where each sign of R is a different solution for the equation.
If D< 0, we have the square root of a negative number, then we have a complex component:
√D = i*R
![x = \frac{-b +- C*i }{2*a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%2B-%20C%2Ai%20%7D%7B2%2Aa%7D)
We have two complex solutions.
If D = 0
√0 = 0
then:
![x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%2B-%200%7D%7B2%2Aa%7D%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
We have only one real solution (or two equal solutions, depending on how you see it)
You would make at least 24 eggs ( 3 packs of eggs and 2 packs of cheese )
Hope it helps