Do y=3x^2+5x+12 and y=3x-8 intercept with each other? If yes, at which point(s)?

This is like solving 2 simultaneous equations. Both equations are in a form of y=ax^2+bx+c. Equate both equations together and you got:
3x2+5x+12 = 3x-8

Put both polynomials at one side and you got:
3x2+2x+20 = 0

b2-4ac = 2- 4(3)(20) = -236 <0
Because b2 - 4ac <0, there are no real roots and the two equations do not intercept with each other.

JH
Answered by Justin H. Maths tutor

4596 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the inequality |x - 2sqrt(2)| > |x - 4sqrt(2)|.


What's the gradient of the curve y=x^3+2x^2 at the point where x=2?


A circle has equation x^2 + y^2 - 8x - 10y + 5 = 0, find its centre and radius


ln(2x^2 + 9x – 5) = 1 + ln(x^2 + 2x – 15). Express x in terms of e


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning