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

4337 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the gradient of the tangent to the curve with the equation y = (3x^4 - 18)/x at the point where x = 3


Core 1 question: Draw the graph "y = 12 - x - x^2"


A 10 kilogram block slides down a 30 degree inclined slope, the slope has a coefficient of friction of 0.2. Calculcate the blocks acceleration down the slope.


A curve has equation y = (12x^1/2)-x^3/2


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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences