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

Related Maths A Level answers

All answers ▸

Solving a quadratic with ax^2 e.g. 2x^2 - 11x + 12 = 0


A curve has equation y = (x-1)e^(-3x). The curve has a stationary point M. Show that the x-coordinate of M is 4/3.


How do you integrate (sinx)^2?


Differentiate y = x^2 - 2x-3 + e^3x + 2ln(x)