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.

Answered by Justin H. Maths tutor

3541 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given that x = 4sin(2y + 6), Find dy/dx in terms of x


Prove why the quadratic formula works


How do you conduct a two tailed binomial hypothesis test


Solve the simultaneous equations: y - 3x + 2 = 0 y^2 - x - 6x^2 = 0


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy