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We start off by defining what an odd number is. We take a general letter, say the letter n, to represent any number. If we multiple it by 2 we are sure no matter what number we enter as n the answer will...

First we expand the brackets by squaring each side(4n-3)² = (4n-3)(4n-3)= 16n² - 24n + 9(2n+5)² = (2n+5)(2n+5)= 4n² + 20n + 25Remember the expression i...

First part of the question is to recognise that these are surds and we will need to simplify them. Then it is asking to place the values from smallest to highest. In order to simplify the surds we have t...

2x² = x + 62x² - x - 6 = 0
[+-1 x-12]2x² - 4x + 3x - 6 =02x(x-2) 3(x-2) = 0(2x + 3)(x-2) = 0x =2 or -3/2
y = 2 + 6 y = 8
y = -3/2 + 6y = 9/2
(2,8)(-3/2...

Two parts to the question. Let's focus on part one:Let x = 0.575757... (1)This means that 100x = 57.575757... (2)If you subtract (1) from (2), we get: 99x = 57Divide both sides by 99: x = 57/99Simplify: x...