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Maths
GCSE

p and q are two numbers each greater than zero. √(p^2 + 5q) = 8 and √(p^2 – 3q) = 6. Find the values of p and q.

First of all, we have to raise to the power of two the first equation and will obtain: p^2 + 5q = 64. 
We have to proceed the same for the second equation and will obtain: p^2 - 3q = 36. 
S...

AB
7687 Views

Find the highest common factor (HCF) of 12 and 18.

We start off by drawing attention to the first number in the question, 12. The number can be broken down into multiples by dividing it by the lowest number (that isn't 1): This breakdown is as follows:...

JJ
Answered by Jake J. Maths tutor
35219 Views

How do we solve simultaneous equations, say for example x + 4y = 20 and 2x - 2y = 10 ?

When it comes to simultaneous equations, there are two methods that we can use to solve them. The first method is called substitution, where we make one of the variables the subject in on...

JW
Answered by Jonathan W. Maths tutor
7002 Views

What are the different methods of solving quadratic equations?

For your maths GCSE it is important that you understand the three main methods of solving quadtratics: factorisation, completing the square, and using the quadratic formula.

1. Fa...

LM
Answered by Lois M. Maths tutor
11031 Views

Solve the simultaneous equations y= 3x +4 and y= 2x + 5

'Solve' means to find the values of the unknown variables in the equations, commonly letters, which in this question are x and y.Step 1: Put equations equal to eachotherB...

VC
Answered by Vicky C. Maths tutor
12280 Views

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