Answers>Maths>A Level>Article

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 = 2²- 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

5404 Views

See similar Maths A Level tutors

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

Related Maths A Level answers

Use logarithms to solve the equation 2^5x = 3^2x+1 , giving the answer correct to 3 significant figures.

Find the integral of xcosx(dx)

Find f(x^(1/2)+4)dx (Where f is the integral sign)

Differentiate y=e^(x^2+2x)