Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Answer:
- x = 0.
Equation:
- [tex]g*(x)-(x^4)=0[/tex]
Step-by-step explanation:
Step 1:
- Pull out like factors:
- [tex]gx - x^4 = x * (g - x^3)[/tex]
Trying to factor as a Difference of Cubes:
- Factoring: [tex]g - x^3[/tex]
- Theory : A difference of two perfect cubes, a^3 - b^3 can be factored into
- (a-b) • (a^2 +ab +b^2)
- Proof : (a-b)•(a^2+ab+b^2) =
- a^3+a^2b+ab^2-ba^2-b^2a-b^3 =
- a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =
- a^3+0+0-b^3 =
- a^3-b^3
- Check : g^1 is not a cube !!
- Ruling : Binomial cannot be factored as the difference of two perfect cubes
Equation at end of step 1:
- [tex]x * (g - x^3) = 0[/tex]
Step 2:
- A product of several terms equals zero.
- When a product of two or more terms equals zero, then at least one of the terms must be zero.
- We shall now solve each term = 0 separately
- In other words, we are going to solve as many equations as there are terms in the product
- Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
- Solve [tex]g - x^3 = 0[/tex]
- In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
- We shall not handle this type of equations at this time.
Solution:
- x=0.
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.
