How do you solve a quadratic equation?

Problem Statement

How do you solve a quadratic equation?

Step-by-Step Explanation

A quadratic equation can often be solved by factoring, completing the square, or using the quadratic formula.

1. Identify what the question is asking. In Algebra, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Key Formula

Final Answer

A quadratic equation can often be solved by factoring, completing the square, or using the quadratic formula. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.