Question
upstudy study bank question image url

3) \( m^{2}+m-90 \)

Ask by Sanders Stewart. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( m = -10 \) or \( m = 9 \).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

To solve \( m^{2}+m-90 = 0 \), we can use the quadratic formula: \( m = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \), where \( a = 1 \), \( b = 1 \), and \( c = -90 \). Plugging in these values gives us \( m = \frac{-1 \pm \sqrt{1 + 360}}{2} = \frac{-1 \pm 19}{2} \). This results in two potential roots: \( m = 9 \) and \( m = -10 \). These roots are highly relatable, as they can represent real-world situations. For instance, \( m \) could symbolize the number of items produced beyond a threshold of 90 units. If you were running a production line, knowing how many additional units to produce could directly affect your profits! The two values are like two different business strategies: one success (an extra 9 units) and the other a lesson learned (a deficit of 10 units).

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