Question

Solve. $$ x_{2}-4 x+4 \quad \sqrt{=} x(5-x) $$

   Solve.
$$
x_{2}-4 x+4 \quad \sqrt{=} x(5-x)
$$

Elementary Algebra

Elementary Algebra

John Redden 1st Edition

Chapter 8, Problem 72

Instant Answer

Solved by Expert James Kiss

02/03/2022

Step 1

This gives us: $$ (x^{2}-4x+4) = (x(5-x))^2 $$ Show more…

Show all steps

lock

Thanks for your feedback!

Solve. $$ x_{2}-4 x+4 \quad \sqrt{=} x(5-x) $$

Play audio

Feedback

Powered by NumerAI

James Kiss and 78 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 are polynomial equations of degree two, typically expressed in the standard form ax² + bx + c = 0. They commonly appear in various fields of mathematics and science, and solving them involves finding the values of the variable that satisfy the equation, often using methods like factoring, completing the square, or the quadratic formula.

Discriminant

The discriminant of a quadratic equation, calculated as b² - 4ac, provides valuable information about the nature of the equation's roots. A positive discriminant means there are two distinct real roots, zero indicates one repeated real root, and a negative discriminant implies that the roots are complex. This concept is crucial in determining the correct approach for solving the equation.

Algebraic Manipulation

This concept involves the process of rearranging and simplifying equations by operations such as expanding expressions, combining like terms, and transposing terms from one side of the equation to the other. It is a fundamental technique in algebra that facilitates the conversion of an equation into a standard form that can be easily solved.

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