You gave a quadratic expression, not equation. Assuming you mean:
2x - 48 - x^2 = 0
Rearrange into standard form ax^2 + bx + c = 0:
-x^2 + 2x - 48 =0
You could directly apply the quadratic formula with a = -1, b = 2, c = -48; or you could multiply by -1 first, giving:
x^2 - 2x + 48 = 0
Then a = 1, b = -2, c = 48; it turns out that there are no real roots -- it has only complex roots, which are:
x = (1 + i√47) and (1 - i√47)
Chat with our AI personalities
The roots of the equation
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
Either "roots" or "solutions".
That is what roots mean!
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12