Question

Use the quadratic formula to solve. $$ x 2-6 x+6=0 $$

   Use the quadratic formula to solve.
$$
x 2-6 x+6=0
$$

Elementary Algebra

Elementary Algebra

John Redden 1st Edition

Chapter 9, Problem 35

Instant Answer

Solved by Expert Victor Salazar

02/04/2022

Step 1

In the equation $x^2 - 6x + 6 = 0$, the coefficients are $a = 1$, $b = -6$, and $c = 6$. Show more…

Show all steps

lock

Thanks for your feedback!

Use the quadratic formula to solve. $$ x 2-6 x+6=0 $$

Play audio

Feedback

Powered by NumerAI

Victor Salazar and 87 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

Discriminant

The discriminant, expressed as b² - 4ac, is a key component of the quadratic formula that indicates the nature of the roots of a quadratic equation. It tells us how many real solutions exist and whether they are distinct or repeated, or if the solutions are complex when the discriminant is negative.

Quadratic Formula

The quadratic formula is a universal method for solving quadratic equations. It is given by x = (-b ± ?(b² - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation. This formula allows for finding the roots of any quadratic equation, even when the roots are irrational or complex.

Quadratic Equation

A quadratic equation is a second-degree polynomial equation in one variable, generally written in the form ax² + bx + c = 0, where a, b, and c are constants and a is nonzero. It is fundamental in algebra and appears in various applications in mathematics, physics, engineering, and other fields, representing parabolic relationships.

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