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How do I use numerical methods to find the root of the equation F(x) = 0?

Generally you will be asked to find the root of an equation of the form F(x) = 0. In my answer below I will only touch on graphical methods, but will go into deeper detail on showing that a root lays in a gi...
MV
Answered by Mathew V. • Maths tutor
18741 Views

Simplify (7+sqrt(5))/(sqrt(5)-1), leaving the answer in the form a+b*sqrt(5)

Step 1 - Identify the difference bet ween the required form of the answer and the expression to be simplified: It can be seen that in order to simplify the expression we need to somehow get rid of the denomi...
IR
Answered by Ian R. • Maths tutor
21951 Views

C1 - Simplifying a fraction that has a root on the denominator

(7+√5)/(√5-1) In this example we are given (√5-1) as our denominator, and we want to simplify this complex fraction into the form a + b√5. In order to do this our first step is to elimate the denominator. To...
CM
Answered by Claudia M. • Maths tutor
6050 Views

How do I simplify surds?

Easy! We first consider which number is in the square root. Then we look at it's factors:- if any of factors are square we can immediately take their root out of the overall square root. Once all the square ...
CW
Answered by Cordelia W. • Maths tutor
8286 Views

How do you differentiate y = 5 x^3 + 1/2 x^2 + 3x -4

FIrslty to avoid confusion: x = the variable x X = multiplication. When you differentiate an equation, the derivative (answer) is referred to as dy/dx. For a polynomial as in this question you take each term...
EM
Answered by Emma M. • Maths tutor
9998 Views