Question

Solve the equation by factoring. $$ x^{2}-26=11 x $$

   Solve the equation by factoring.
$$
x^{2}-26=11 x
$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 12, Problem 67

Instant Answer

Solved by Expert Heather Zimmers

04/18/2020

Step 1

We do this by subtracting $11x$ from both sides of the equation: $$ x^{2}-11x-26=0 $$ Show more…

Show all steps

lock

Thanks for your feedback!

Solve the equation by factoring. $$ x^{2}-26=11 x $$

Play audio

Feedback

Powered by NumerAI

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Zero Product Property

The zero product property states that if the product of two numbers (or expressions) is zero, then at least one of the factors must equal zero. This principle is used after factoring the quadratic, enabling the equation to be split into simpler linear equations that can be solved directly.

Quadratic Equations in Standard Form

To solve quadratic equations effectively, it is important to first rewrite the equation so that one side is zero. This standard form, typically written as ax² + bx + c = 0, facilitates the application of various solution methods including factoring, completing the square, or the quadratic formula.

Factoring Techniques

Factoring is the process of expressing a quadratic equation as a product of two binomials. This method involves finding two numbers that multiply to give the product ac (from ax² and c) and add up to the coefficient b, allowing the quadratic to be decomposed into factors that can be set individually to zero.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later