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First, we must cross multiply to remove the fractions, to do this, we multiply each numerator by the opposite denominator: (x)(12x+31) = (6x+5)(4x-1). Then, we multiply out the brackets t...

A for loop will run the code a predetermined number of times, whereas a while loop will continue to execute the code until a predetermined condition is met.

We know the discriminant (b^2 - 4ac) must be equal to zero for an equation to have equal roots (think about the fact that the square root of this is taken in the quadratic equation). So we can form the eq...

is (2i + j) m/s. Find the shortest distance between P and Q in the subsequent motion. This is an m4 question from the edexcel June 2015 paper. First I would explain to the student that I would form an equ...

To understand why the drill produces more heat we must understand Lenz's law. Lenz's law states that the direction of an induced current is always such as to oppose the change that causes the current. In ...