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The gradient or the slope of a curve is defined as the change in the y direction over the change in the x direction (dy/dx). In order to calculate a formula for the gradient of a curve we must differentia...

For a quadratic to have equal roots, the value of the discriminant (b²-4ac) =0. This means that the quadratic formula yields only one result (or two equal roots), since x=(-b ±0)/2a , thus if a...

If you have a fraction where the denominator is a surd, such as 5/(1+sqrt(2)), you need to multiply the denominator by another number so that it becomes a a whole number. If you multiply either the denomi...

(3x-5)(x+6)factors of 90 (3x30): 1x90, 6x15, 9x10, 5x18and add up to 13 can only be 5 and 1818-5=13 5/3 or 18/3=6 and 5x6=30so must be (3x-5)(x+6) and check by expanding with FOIL method

First let's consider the case of even numbers. Suppose n is even, then it must be double some other number, so we have:
n = 2k
Where k is another natural number. We want to find out what:
1...