A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Find a quadratic equation having the given numbers as solutions. x= 1/2, x=9/2. Answer must be in ax^2+bx+c=0. a>0 and a,b,c do not all have a common factor
anonymous
 5 years ago
Find a quadratic equation having the given numbers as solutions. x= 1/2, x=9/2. Answer must be in ax^2+bx+c=0. a>0 and a,b,c do not all have a common factor

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sols x=1/2 and x=9/2, so ax^2+bx+c=(x+1/2)(x9/2)=0 (x+1/2)(x9/2) =x^2 + 1/2x  9/2x 9/4 =x^2  4x 9/4 so we can see a=1, b=4, c=9/4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wow, this is very confusing!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you have your quadratic equation there right? so a quadratic equation can be factorised into the form of (x+a)(x+b)=0 (eq1) where solutions are a and b so you have there a=1/2, a=1/2 and b=9/2, b=9/2 apply this into (eq1) we get (x+1/2)(x9/2)=0 expand this you will get another equation in form of ax^2 + bx + c =0 (*) in this case your expansion equation is x^2  4x 9/4 = 0 (**) compare (*) and (**) you can see a=1, b=4, c=9/4
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.