Given the two curves y1 and y2, verify the two curves intersect at (-5,0) and (2,0)

y1 = -3x2- 9x + 30 , y2 = x2 + 3x - 10Equate two curves ( y1 = y2 )Obtain following simplified quadratic: x2 + 3x + 10 = 0Factorise to obtain ( x + 5 ) ( x - 2 ) = 0 and correct x values x = -5 , x = 2From x values verify y = 0 in both cases

JP
Answered by James P. Maths tutor

3638 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the point of differentiation?


Find the first three terms of the binomial expansion of (3 + 6x)^(1/2).


The straight line with equation y = 3x – 7 does not cross or touch the curve with equation y = 2px^2 – 6px + 4p, where p is a constant. Show that 4p^2 – 20p + 9 < 0.


A circle with equation x^2+y^2-2x+8y-40=0. Find the circle centre and the radius


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