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 area under the curve y=xsin(x), between the limits x=-pi/2 and x=pi/2.
The quadratic equation 2x^2+8x+1=0 has roots a and b. Write down the value of a+b and ab and a^2+b^2.
Given that (2x + 11 )/(2x + 1)(x + 3) ≡ A /(2x + 1) + B /(x + 3) , find the values of the constants A and B. Hence show that the integral from 0 to 2 (2x + 11)/ (2x + 1)(x + 3) dx = ln 15.
i) Using implicit differentiation find dy/dx for x^2 + y^2 = 4 ii) At what points is the tangent to the curve parallel to the y axis iii) Given the line y=x+c only intersects the circle once find c given that c is positive.