Solve the following inequality: 2x^2 < x+3

2x2 < x+3, 2x2- x - 3 < 0, (2x - 3) (x + 1) < 0, Positive quadratic. Roots: x = -1 and x = 3/2, Therefore, x takes values greater than -1 and less than 3/2.

OM

Related Further Mathematics A Level answers

All answers ▸

How do I prove that the differential of coshx is equal to sinhx?


Find the complementary function to the second order differential equation d^2y/dx^2 - 5dy/dx + 6x = x^2


How do I know when I should be using the Poisson distribution?


Prove that 1+4+9+...+n^2 = n(n+1)(2n+1)/6.