Top answers

How do I find the roots of a quadratic equation?

A quadratic equation is an equations of the form: ax 2 + bx + c = 0 (1) where a is not 0. The ways of finding the roots are: quadratic formula, factorising, substituting, completing the square. Today, I'll c...
CM
Answered by Catriona M. • Maths tutor
4792 Views

Integrate dy/dx = 2x/(x^2-4)

Integrate dy/dx = 2x/(x 2 -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 -4 (the denominator). When we ...
WR
Answered by William R. • Maths tutor
12366 Views

Find the first three terms in the binomial expansion of (8-9x)^(2/3) in ascending powers of x

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 - (3/4...
AR
Answered by Anthony R. • Maths tutor
12811 Views

The curve has the equation y= (x^3)/(2x-1). Find dy/dx.

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 (the...
PC
Answered by Poppy C. • Maths tutor
6105 Views

A school has 1200 pupils. 575 of these pupils are girls. 2/5 of the girls like sports. 3/5 of the boys like sport. Work out the total number of pupils in the school who like sport.

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 2/...
GB
Answered by Gianluca B. • Maths tutor
14085 Views