A quadratic can have __ solution(s). Select all that apply. no or zero infinitely many cubic two one three

## Step 1
A quadratic equation is a second-degree polynomial equation in a single variable $x$, with a non-zero coefficient for $x^2$. The general form is $ax^2+bx+c=0$, where $x$ represents an unknown, and $a$, $b$, and $c$ are constants with $a ≠ 0$.

## Step 2
The solutions of a quadratic equation are the values of $x$ that make the equation true. These solutions can be found using the quadratic formula, factoring, completing the square, or graphing.

## Step 3
The number of solutions of a quadratic equation depends on the discriminant, which is the part under the square root in the quadratic formula. The discriminant is $b^2 - 4ac$.

## Step 4
If the discriminant is greater than zero, the quadratic equation has two distinct real solutions.

## Step 5
If the discriminant is equal to zero, the quadratic equation has one real solution.

## Step 6
If the discriminant is less than zero, the quadratic equation has no real solutions.

## Step 7
Therefore, a quadratic equation can have no or zero solutions, one solution, or two solutions. It cannot have infinitely many solutions, cubic solutions, or three solutions.