Question
upstudy study bank question image url

6) \( 4 x^{2}=16 x \)

Ask by Floyd Bond. in South Africa
Mar 05,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The solutions are \(x=0\) and \(x=4\).

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

Extra Insights

To solve the equation \( 4x^{2} = 16x \), start by moving all terms to one side so that the equation becomes \( 4x^{2} - 16x = 0 \). Next, factor out the common term, which gives \( 4x(x - 4) = 0 \). This implies either \( 4x = 0 \) or \( x - 4 = 0 \). Solving these equations gives \( x = 0 \) or \( x = 4 \) as the solutions. Now, let’s explore how this quadratic equation can often pop up in the world of finance, particularly in calculating profit margins or breaking even points. Say you have a company producing toys, and your revenue and costs can be modeled by a quadratic equation like ours. Finding the points where profit equals zero can help decide if you need to tweak your production strategy!

Related Questions

Latest Algebra Questions

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