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 ▸

Find the general solution of the second order differential equation: y''+2y'-3 = 0


Finding modulus and argument of complex number (x+iy)


In simple harmonic motion, where would the object have the largest speed. If the angular velocity is 2 rad s^-1, and the amplitude is 1m, what is the largest speed obtained by the object?


Calculate the value of the square root of 3 to four decimal places using the Newton-Raphson process