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Solve the following simultaneous equations: x^2 + y^2 = 12, x - 2y = 3

This is an example of quadratic simultaneous equations. We need to work out the value(s) of x OR y by rearranging one of the equations and then substituting it into the other equation. Once obtaining the ...

Answered by Imama Taiba N. • Maths tutor

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Solve x^2 + 8x + 12 = 0

x = -6 or -2

Answered by Alex M. • Maths tutor

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Jules buys a washing machine. 20% VAT is added to the price of the washing machine. Jules then has to pay a total of £600 What is the price of the washing machine with no VAT added?

In this question we will label the washing machine as x. In order to answer this question we need to understand that the final price of the washing machine (£600) is the price of the machine with...

Answered by Ophelia M. • Maths tutor

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If a train leaves for a 130 mile journey at 1.30pm, and travels at a constant speed of 50 miles per hour, at what time will it arrive?

First, calculate the time taken for the train to complete its journey:
Distance = 130, Speed = 50, Time = Distance/Speed = 130/50 = 2.6 hours.
Next, use this to calculate the time of arrival:

Answered by Luke D. • Maths tutor

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Write 144 as a product of its prime factors

To do this, we draw a prime factor tree (whiteboard). The easiest way is to keep dividing by 2 (which is a prime number) until we get an odd number. 144/2 = 72 and 72/2 = 36 and 36/2 = 18 and 18/2 = 9 whi...

Answered by Ewan S. • Maths tutor

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