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A quadratic equation is an equations of the form:   ax² + bx + c = 0 (1)  where a is not 0. The ways of finding the roots are:  quadratic formula, factorising, substituting, completing the squa...

Integrate dy/dx = 2x/(x²-4).

We can answer this question using integration by substitution, where we set u = something in terms of x.

In this case we are going to set u = x^2<...

Rewrite (8-9x)^(2/3) as (8(1-(9/8)x)^(2/3)=4(1-(9/8)x)^(2/3). Now apply the C4 binomial formula in the formula booklet, so: 4(1 - ((9/8)x)^(2/3)= 4[ 1 + (2/3)*((-9/8)x) + (2/3)((-9/8)x)^2 .....]= 4[ 1 - (...

To differentiate a function with respect to (wrt) x you multiply the function by the power and then lower the power by one. For example, if f(x)=x^3, then to differentiate you multiply the function by 3 (...

As we are told the number of girls that are in the school, our first step should be to calculate the number of boys in the school through a simple subtraction (1200-575 = 625). After this we are told that...