Question

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$ 3 x^{2}=75 $$

Name: Problem 29, Chapter 3: Intermediate Algebra
Uploaded: 2022-02-28T03:01:51-08:00
Duration: 28 s
Channel: Erika Bustos
Description: Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. 3 x^2=75

   Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter.
$$
3 x^{2}=75
$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 3, Problem 29

Instant Answer

Solved by Expert Erika Bustos

02/28/2022

Step 1

We can do this by dividing both sides of the equation by 3. This gives us: $$ x^{2}=\frac{75}{3} $$ Show more…

Show all steps

Thanks for your feedback!

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$ 3 x^{2}=75 $$

Play audio

Feedback

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 form ax² + bx + c = 0. Solving these equations involves finding the values of the variable that satisfy the equation, using methods such as factoring, using the quadratic formula, or completing the square.

Factoring

Factoring is a method of rewriting an expression as the product of simpler expressions (factors). In the context of quadratic equations, factoring involves finding binomials whose product equals the quadratic, which is a key step in solving the equation when it can be expressed in a factorable form.

Zero-Product Property

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero. This property is used after factoring a quadratic equation to set each factor equal to zero, thereby determining the possible solutions for the variable.

Please give Ace some feedback