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 induction that the sum from r=1 to n of (2r-1) is equal to n^2.


write the sum cos(x)+cos(2x)+...+cos(nx) as a quotient only involving sine and cosine functions


How do you find the determinant of a matrix?


Prove that the sum of squares of the first n natural numbers is n/6(n+1)(2n+1)