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What is the significance of the number e (Euler's number)?

The irrational number e is one of the most important numbers in mathematics. The value of it is 2.718... but since it is irrational that is e to 4 significant figure, only. How can we calculate this numbe...

Answered by Soleiman A. • Maths tutor

4023 Views

If -3x + 10y = -100 and 13x + 10y = 60, solve for x and y.

This can be solved simultaneously. This is about manipulating the equations until they're in a format that you can use.Label the equations:eq1: -3x + 10y = -100 and eq2: 13x + 10y = 60Now, eq1 - eq2 gives...

Answered by Olyvia J. • Maths tutor

2764 Views

Jo wants to work out the solutions of x^2 + 3x – 5 = 0. Can the solution be worked out?

In this question we are looking for a solution to x where the equation will equal to 0.We can first try factorising this, in the framework: (x+a)(x+b). Remembering the method of FOILS (first, outer, inner...

Answered by Vivek G. • Maths tutor

4698 Views

Find the coefficient of the constant term of the expression (2x+1/(4x^3 ))^8

In order to find the coefficient we need to know which term of the binomial expansion is constant. We know the expression to find the coefficient is (8Cn)(2^n)((1/4)^(8-n)), where n is the power ...

Answered by Francisco E. • Maths tutor

2929 Views

How would I simplify (3x^2 − 8x − 3)/(2x^2 −6x) fully?

The above sample question was taken from the 2018 GCSE Maths Higher paper.First we simplify the numerator, 3x^2 - 8x - 3, which is a quadratic written in the form ax^2 + bx + c so we can simplify it by fa...

Answered by Jude M. • Maths tutor

4691 Views