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How can I solve simultaneous equations?

We can solve simultaneous equations in two different ways. We can either eliminate one of the unknowns or use substitution. It is about finding which method you are most comfortable with and practicing that ...
MM
Answered by Meabh M. • Maths tutor
6558 Views

Where does the quadratic equation come from?

This is a quick derivation of the quadratic formula for an GCSE Maths students looking to stretch themselves a little and go for that A*! If we have a general quadratic equation: ax 2 +bx+c=0 (eq1) You will ...
RM
Answered by Ryan M. • Maths tutor
5327 Views

Mark has a voucher that gives him 22% off the prices at a hardware store. Estimate how much he will pay for an electric drill that normally costs £87.99. (non-calculator) (3)

It is important to remember this is an estimate, so we can simplify the numbers by saying they get 20% off and the drill costs £90. (1) 10% off would be £9, so 20% off is £18. (1) They have 20% off so they p...
JF
Answered by Jake F. • Maths tutor
4477 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
21857 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
5986 Views