- #1
In summary, the conversation is about someone asking for a step-by-step guide on how to find all possible solutions for a math problem involving simplifying square roots and solving for X. The conversation also discusses the importance of not waiting until the last minute to do homework and how to determine if a solution is correct. The solution for the problem is x=1, and the conversation ends with someone asking for a demonstration on how to solve it.
- #2
Opalg
Gold Member
MHB
- 2,778
- 13
Hi Andreas, and welcome to MHB. You do not say what you have tried in order to tackle this problem. I suggest that you start by looking at those square roots. Can you simplify them at all?andreask said:
- #3
theakdad
- 211
- 0
Thanks for welcome! I need to remove fractions,and get possible solutions for X. I don't know how to remove fractions,step by step would be very useful.
- #4
theakdad
- 211
- 0
Is the solution x^3+3x^2=4?
- #5
Petrus
- 702
- 0
Hello,
Regards,
\(\displaystyle |\pi\rangle\)
Regards,
\(\displaystyle |\pi\rangle\)
- #6
theakdad
- 211
- 0
Thanks Petrus, can you continue?
- #7
theakdad
- 211
- 0
Or someone else? Its urgent. Thanks.
- #8
Petrus
- 702
- 0
Hello,
I Will post how to solve it after you post what you think you should do! Tips Dont do the homework in the last minutes
Regards,
\(\displaystyle |\pi\rangle\)
I Will post how to solve it after you post what you think you should do! Tips Dont do the homework in the last minutes
Regards,
\(\displaystyle |\pi\rangle\)
- #9
theakdad
- 211
- 0
Expression skould be without fractions,and then i have to find possible solution(s) for X.
- #10
Petrus
- 702
- 0
Hello,andreask said:
My bad did not see this but that is correct! So what is x equal to?
Regards,
\(\displaystyle |\pi\rangle\)
- #11
theakdad
- 211
- 0
I think it can be only one! True?
- #12
theakdad
- 211
- 0
I want to know how do i get solution in math way. I can see that is 1,but how do i prove it? Can i "disassemble" my last expression? Or if you have time,show me please how would you do it! And many thanks,and sorry for my English!
- #13
Petrus
- 702
- 0
Hello,
\(\displaystyle x^2(x+3)=4\) and you suspect that \(\displaystyle x=1,2,-2\) BUT you always check if they are correct and Then you see that \(\displaystyle x=2,-2\) is a fake root!
Regards,
\(\displaystyle |\pi\rangle\)
\(\displaystyle x^2(x+3)=4\) and you suspect that \(\displaystyle x=1,2,-2\) BUT you always check if they are correct and Then you see that \(\displaystyle x=2,-2\) is a fake root!
Regards,
\(\displaystyle |\pi\rangle\)
Last edited:
FAQ: Solve equation with square roots
What is an equation with square roots?
An equation with square roots is an equation that involves finding the value of a variable that is inside a square root symbol. These types of equations are often used in mathematics and science to solve for unknown quantities.
What is the process for solving an equation with square roots?
The process for solving an equation with square roots involves isolating the variable that is inside the square root symbol and then squaring both sides of the equation to remove the square root. This will leave you with a simpler equation that can be solved using basic algebraic techniques.
Can an equation with square roots have more than one solution?
Yes, an equation with square roots can have more than one solution. This is because when you square both sides of the equation to remove the square root, you may end up with a quadratic equation that can have two solutions. It is important to check your solutions by plugging them back into the original equation to ensure they are valid.
Are there any special rules for solving equations with square roots?
Yes, there are a few rules to keep in mind when solving equations with square roots. Firstly, when you square both sides of an equation, you must also include a ± symbol to account for both positive and negative solutions. Additionally, if there are square roots on both sides of the equation, you must square both sides twice to eliminate them completely.
Can I use the same methods to solve all equations with square roots?
No, the methods for solving equations with square roots may vary depending on the specific equation. Some equations may require factoring or other techniques in addition to isolating and squaring the square root. It is important to fully understand the principles behind solving these types of equations and to carefully follow the steps in each individual problem.