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Multiply through by both denominators, giving us the equation (2x + 3)(2x + 1) - (2x - 8)(x - 4) = (x-4)(2x +1). If we expand the brackets, we arrive at 4x^2 + 8x + 3 - (2x^2 -16x + 32) = 2x^2 -7x -4. If ...

Here we have a pair of simultaneous equations with two unknowns. There are two methods of going about this question: substitution or elimination. Today, we shall be focusing on the latter. We need a pair...

First, let's imagine the point 3 + 4j as a point on an Argand diagram, with coordinates 3,4. The polar form of an imaginary number is in the form re^(jθ), where r is the modulus of the number (the distanc...

microwaves come from a different region in the electromagnetic spectrum to X-rays and gamma rays, meaning that they have a different wavelength. Since wavelength and energy are related, this also means th...

When we are asked to solve a quadratic, we can use the formula, but we are here specifically asked to use factorisation.

First of all, we need to know the format of factorisation: usually, it's (x+...