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Firstly, get all of the x's onto one side of the equation and all of the numbers onto the other. To make it easier at the end, subtract the smaller value of x so that it doesn't become negative: 3x-10=12x...

To combine these two fractions into one, you have to multiply the equation by the denominators in order to make a common denominator: 5(x-5)/(x+1)(x-5) + 6(x+1)/(x+1)(x-5) Now that the denominators are th...

A surd is an irrational square root which cannot be reduced to a whole number when squared. When you think of the square root of 4, the answer is 2. When you think of the square root of 9, the answer is 3...

We can understand this identity in two different, useful ways.

Firstly, we can use Euler's identities from trigonometry to obtain the desired result using straightforward algebra. We know that:

This is a quadratic equation. We can recall that this means the graph will have a parabolic shape. Next we need to do a little bit of manipulation to get our final bits of information. So we want to know ...