A community for students.
Here's the question you clicked on:
 0 viewing
dan18
 3 years ago
what is C so that y=2x+3 is tangent to the curve y+x^2 +C?
dan18
 3 years ago
what is C so that y=2x+3 is tangent to the curve y+x^2 +C?

This Question is Closed

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.2i think that's y=x^2 +C, right ?

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.2if yes, first take y1=y2, we get a quadratic equation and then to find value of c, take D=0 (D=discriminant) solve for c?

heedcom
 3 years ago
Best ResponseYou've already chosen the best response.0yes, thats what I was thinking, do they mean y=x^2 +C

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.0y=2x+3...........i y=x^2+C........ii

sauravshakya
 3 years ago
Best ResponseYou've already chosen the best response.0Now, substitute eqn i in eqn ii and tell me what u get

TomLikesPhysics
 3 years ago
Best ResponseYou've already chosen the best response.1If you want to see the calculation look at the attached file.

dan18
 3 years ago
Best ResponseYou've already chosen the best response.0thank you very much guys for the help! can I ask why is the D=0 (D=discriminant)?

amorfide
 3 years ago
Best ResponseYou've already chosen the best response.0descriminant is 0 because it is a tangent to the curve, when the descriminant is 0 it has a repeated root, so it just touches the curve, if it were to be greater than 0 it would have two roots which means it would no longer be a tangent, if it were less than 0 it would have two complex roots, not being a tangent,
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.