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Use the Intermidiate Value Theorem to prove that there is a positive number c such that c^2 = 2.

This exercise is asking to prove the existance of the square root of 2. So let's consider the function f(x) = x^2. Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infinity). ...
DK
Answered by Dilyana K. • Maths tutor
9759 Views

How do I plot a line on a graph, given the equation y=2x+1 ?

A simple way to do this is to use substitution. You can pick values for x such as x=0,1,2 and find the values for y. When you have two or more coordinates you can plot the line. In this case you could find c...
HP
Answered by Hannah P. • Maths tutor
6561 Views

How do you multiply out brackets

This is simple as long as you remember FOIL: First Outside Inside Last So, for example, let's multiply out (2x+1)(4x-3) Multiply the first number from each bracket together: 2x times 4x = 8x 2 Then the outsi...
HM
Answered by Harry M. • Maths tutor
14740 Views

Finding out the length of one side of a triangle

The way to find the length of one side of a triangle can be to use SOHCAHTOA, an abbreviation learnt to help rememeber the process. SOH stands for sin = opposite / hypotenuse , CAH stands for cos = adjacent ...
AA
Answered by Anesha A. • Maths tutor
6161 Views

How do I factorise quadratic equations?

Take the example x 2 + 5x + 6.You need to think of 2 numbers that multiple together to make 6, and add together to make 5. Therefore in the brackets we need 2 and 3. As all the signs are positive in this exa...
AS
Answered by Adam S. • Maths tutor
5070 Views