# Quadratic equations, which are expressed in the form of `ax^2 +bx+c= 0` , where a does not equal 0, may have how many solutions?

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Expert Answers

lemjay | Certified Educator

The number of solutions an equation has depends on the degree of the polynomial. Note that degree refers to the highest exponent of the variable.

If the degree is one, the maximum number of solutions is 1. If it is two, then the maximum number of solutions is 2.

**So in `ax^2 + bx + c = 0` , the equation can have two solutions. Or, it may only be one. Or none at all.**