Q. 335 - Intermediate Algebra

Question

Explain how you solve a quadratic equation. How many answers do you expect to get for a quadratic equation?

Step-by-Step Solution

Answer

A quadratic equation can be solved by factoring.

A quadratic equation may have infinitely many solutions.

Step 1. State the first part.

We know, a quadratic equation can be solved by factoring.

First, we need to put all terms on one side and factor.

Set the factors equal to zero and solve such equations to obtained the required result.

Then check the answer by substituting in the original equation.

Step 2. State the second part.

A quadratic equation may have infinitely many solutions.

But there can be only two roots or zeros.