Question
upstudy study bank question image url

Indicate the correct solution to the quadratic equation below or whether it has no solution. \( y^{2}-7 y=8 y+10 \) Select one: no solution \( x=10 \) and 1 -0.64 and 15.64 approximately \( x=5 \) and -2

Ask by Powell Sherman. in Canada
Mar 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The solutions are approximately \( y = 15.64 \) and \( y = -0.64 \).

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 the equation \( y^2 - 7y - 8y - 10 = 0 \), first simplify it to \( y^2 - 15y - 10 = 0 \). Next, use the quadratic formula \( y = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) where \( a=1, b=-15, c=-10 \). This results in the solutions \( y \approx 15.64 \) and \( y \approx -0.64 \). So the correct answer is approximately -0.64 and 15.64. Let's break it down! After combining like terms, you end up with a standard quadratic equation. When plugged into the quadratic formula, the resultant values might seem foreign at first, but take a moment to visualize them on a graph. The two points where your parabola intersects the x-axis represent the solutions to the equation. Always double-check your signs and calculations to avoid hiccups in the process!

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