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 ▸

Evaluate the integral ∫2x√(x^2 +1) dx


Find the roots of y=x^{2}+2x+2


A matrix M has eigenvectors (3,1,0) (2,8,2) (1,1,6) with corresponding eigenvalues 1, 6, 2 respectively. Write an invertible matrix P and diagonal matrix D such that M=PD(P^-1), hence calculate M^5.


Given that the curve y = 3x^2 + 6x^1/3 + (2x^3)/3x^1, find an expression for the gradient of the curve.