How to solve quadratic equation?

Steps to Solve a Quadratic Equation by the Quadratic Formula

Given a quadratic equation in the form:

$$ax^2 + bx + c = 0$$

Step 1: Identify the values of $a$, $b$, and $c$.

Step 2: Substitute the values into the quadratic formula:

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

Step 3: Calculate the value inside the square root ($b^2 - 4ac$), also known as the discriminant.

Step 4: If the discriminant is positive, the equation has two real solutions. If it's zero, the equation has one real solution. If it's negative, the equation has two complex solutions.

Step 5: Solve for $x$ by substituting the values of $a$, $b$, and $c$ into the formula and simplifying.