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Prove that the square of an odd number is always 1 more than a multiple of 4

(2n+1) 2 = (2n+1)(2n+1) Use FOIL method= 4n 2 +2n+2n+1= 4n 2 +4n+1= 4(4n+n)+1 4n+n is just a number, therefore proved
DH
Answered by Daniel H. • Maths tutor
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How to solve a quadratic by factorisation?

There are 4 different methods to solve quadratics: factorisation, quadratic formula, graphically and completing the square. Today we shall solve equations by factorisation.Using the equation x 2 + 6x + 8,1) ...
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Answered by Oyin O. • Maths tutor
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Prove algebraically that the straight line with equation x - 2y = 10 is a tangent to the circle with equation x^2 + y^2= 20

rearrange line equation: x=10 + 2ysubstitute into circle equation: (10+2y) 2 + y 2 =20expand: 4y 2 +20y +20y + 100 + y 2 = 20 collect terms: 5y 2 + 40y +100 = 20move all to one side: 5y 2 + 40y + 80=0divide ...
AB
Answered by Annabel B. • Maths tutor
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What is the best way to plan my EPQ?

I found a helpful way to plan my EPQ was to write down the points I wanted to make for each paragraph on a word document in a list. I would then write a sublist under each point of all the evidence I wanted ...
LM
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What is the process of osmosis?

A diagram would be included.Osmosis occurs when there are two areas of water of different water potentials on different sides of a semi-permeable membrane. If one side of the membrane has a low water potenti...
LM
Answered by Lily M. • Biology tutor
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