Top answers

How to complete the square to find the value of x?

To complete the square you compare your equation in the form x 2 + bx + c = 0 to a similar equation of (x + b/2) 2 + c = 0 . From expanding out the second equation we have x 2 + bx + (b/2) 2 + c = 0 we can s...
AA
Answered by Ayotunde A. • Maths tutor
3943 Views

How can the trapezium rule be used to estimate a definite integral?

Are we comfortable with an integral being the area under a curve on a graph? Well we'll draw a curve and think about how we could estimate this area. Would you agree that we could chop up the area under the ...
JS
Answered by Joseph S. • Maths tutor
3496 Views

Factorise x^2 -7x+10, and hence solve x^2-7x+10=0

Firstly, it is important to recognise that the answer will need to be in the form of two pairs of brackets because the question is asking us to factorise a quadratic equation. The equation only has a single ...
GT
Answered by Gareth T. • Maths tutor
6532 Views

How do you perform implicit differentiation?

Implicit differentiation is used when the function you need to differentiate is not in the form y = f(x). For example: y 4 + 3x 2 - 10 + 2y 2 = 4xThe first step is to differentiate each term of the equation ...
TF
Answered by Toby F. • Maths tutor
1923 Views

Solve x^2 = 4(x-3)^2

First expand the bracket (x-3) 2 separately to give x 2 - 6x +9 Next multiply by the 4 outside the brackets to give 4x 2 -24x +36 Now all the terms have been expanded you can collect the like terms in the eq...
JV
Answered by Joe V. • Maths tutor
4216 Views