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 ▸

Find the stationary pointsof the following: (y = x^3 - x^2 -16 x -17) and determine if each point is a maximum or minimum.


Integrate sin^4(x)


p(x)=2x^3 + 7x^2 + 2x - 3. (a) Use the factor theorem to prove that x + 3 is a factor of p(x). (b) Simplify the expression (2x^3 + 7x^2 + 2x - 3)/(4x^2-1), x!= +- 0.5


Integrate this funtion f'(x)=2x +4 with respect to x (C1 integration)