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 ▸

Prove by mathematical induction that 2^(2n-1) + 3^(2n-1) is divisible by 5 for all natural numbers n.


Why am I learning about matrices? What are they?!


find an expression for the sum of the series of 1 + 1/2cosx + 1/4cos2x +1/8cos3x + ......


Given sinhx = 0.5(e^x - e^-x), express its inverse, arcsinhx in terms of x.