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Find the roots of x^2-9=0

Stage 1: Identify that the equation is a quadratic and that the question is asking you to find out which values 'x' fit this equation. Quadratics can be written algebraically in the form ax2+bx...

Answered by Jamie D. Maths tutor
2430 Views

Find the length of the hypotenuse of a right angled triangle which has other two sides of length 5 and 12.

When we have 2 sides of a right angled triangle, we can use Pythagoras' Theorem to find the third missing side. This theorem states that if we label the hypotenuse (the side opposite the right angle) as <...

Answered by Andrew Y. Maths tutor
2402 Views

Find an expression for the nth term of the following sequence: 7, 11, 15, 19

In terms of understanding the question, we are asked to look for a common rule that would help us find any term, or member, of the sequence in the question, no matter how big. The "nth" bit they...

Answered by Luke H. Maths tutor
3987 Views

solve the inequality x^2-4x+4>0

x2 -4x+4>0 => (x-2)(x-2)>0. We can illustrate this line on a graph showing a quadratic whose vertex is at (2,0). Therefore, the answer to our inequality is x<2,x>2 (but x does no...

Answered by James A. Maths tutor
5458 Views

Find the integral of 1/(x-5) with respect to x

This question tests fundamental understanding of integration and checks that the student is not simply memorizing the simple examples for the test. Most students will remember that the integral of 1/x is ...

Answered by Harry L. Maths tutor
4088 Views

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