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 ▸

Using a Suitable substitution or otherwise, find the differential of y= arctan(sinxcosx), in terms of y and x.


Integrate x^2sin(x) between -pi and pi


What are imaginary numbers and why do we use them?


Prove by induction that (n^3)-n is divisible by 3 for all integers n>0 (typical fp1 problem)