Question
upstudy study bank question image url

\( x \) the sum of the three terms is 27 and the product is 94.

Ask by Vaughan Marshall. in South Africa
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

You need to find three numbers that add up to 27 and multiply to 94.

Solution

Hello! It looks like your message might be incomplete or missing some details. You mentioned: - A sum of three terms is **27** - The product of these three terms is **94** To help you effectively, could you please provide more information or clarify the problem? For example: 1. **Are you looking to find the three terms themselves?** 2. **Is there any additional relationship between the terms (e.g., they are in arithmetic or geometric progression)?** 3. **Is one of the terms represented by \( x \), and you need to solve for it?** With more context, I can provide a detailed solution or guide you through the steps needed to solve the problem. Feel free to elaborate!

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Extra Insights

To unravel the mystery of your sum and product, consider the three terms as \( a \), \( b \), and \( c \). We know they satisfy the equations \( a + b + c = 27 \) and \( abc = 94 \). A fun tip! If you think of \( a \), \( b \), and \( c \) as the roots of a polynomial, you could represent it as \( x^3 - (a+b+c)x^2 + (ab + ac + bc)x - abc = 0 \). With the sum and product in hand, you're close to finding an engaging way to solve for these mysterious values! When tackling problems like this, a common mistake is jumping straight to guessing the numbers without utilizing systematic approaches such as substitution or leveraging polynomial equations. Instead, consider breaking down your equation into smaller parts by letting \( c = 27 - a - b \) and substituting into the product equation. This will lead to a quadratic in terms of \( a \) or \( b \), making it a lot easier to find solutions while avoiding pitfalls. Happy calculating!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy