Further Maths Past Questions and Answers

Solve the inequality \(2x^{2} + 5x - 3 \geq 0\).

What is the coordinate of the centre of the circle \(5x^{2} + 5y^{2} - 15x + 25y - 3 = 0\)?

Simplify \(\sqrt{(\frac{-1}{64})^{\frac{-2}{3}}}\).

Evaluate \(\int_{1}^{2} (2 + 2x - 3x^{2}) \mathrm {d} x\).

A binary operation ♦ is defined on the set R, of real numbers by \(a ♦ b = \frac{ab}{4}\). Find the value of \(\sqrt{2} ♦ \sqrt{6}\).