Question

Solve by completing the square. $x^{2}+8=4 x$

   Solve by completing the square.
$x^{2}+8=4 x$

Precalculus: Graphs and Models

Precalculus: Graphs and Models

Raymond A. Barnett,… 3rd Edition

Chapter 2, Problem 31

Instant Answer

Solved by Expert Ernest Castorena

06/20/2020

Step 1

We do this by subtracting $4x$ from both sides of the equation: \[x^{2}-4x+8=0\] Show more…

Show all steps

lock

Thanks for your feedback!

Solve by completing the square. $x^{2}+8=4 x$

Play audio

Feedback

Powered by NumerAI

Ernest Castorena and 65 other subject Algebra educators are ready to help you.

Ask a new question

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

Quadratic Equations

Quadratic equations, typically written in the form ax² + bx + c = 0, are fundamental expressions in algebra. They represent curves (parabolas) when graphed and are solved using various methods such as factoring, completing the square, or applying the quadratic formula.

Completing the Square

Completing the square is a technique that transforms a quadratic expression into a perfect square trinomial. This method involves manipulating the equation by isolating the quadratic and linear terms, adding the square of half the coefficient of the linear term, and then rewriting the quadratic part as a squared binomial. This simplified form makes it easier to solve for the variable.

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