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Find the value of X in the equation X^2 + 9X - 22 = 0

There are 3 ways of solving this but I will go through the 2 that are necessary for GCSE level Firstly - 22 can only be made by 1 22 or 2 11 -------> 11 - 2 = 9 therefore 11 and -2 are needed to make the ...
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Answered by Christopher A. Maths tutor
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Rearrange the equation y = 3(x+1)/4, making x the subject.

Firstly, before we even approach the bracket containing the x term, we want to deal with the fraction. The first step should be multiplying by 4 to cancel out the denominator on the right. This leaves us wit...
MC
Answered by Mustafa C. Maths tutor
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15x^2 − 4x + x^2 + 9x − x − 6x^2 =

15x^2 − 4x + x^2 + 9x − x − 6x^2 = ?First you can break up the question and sort out the x^2 part of the equation to make it easier: 15x^2 + x^2 − 6x^2 = 10x^2Then you are left with solving the second part o...
JH
Answered by Jonjo H. Maths tutor
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Expand (2x + 5)(9x - 2).

Use the FOIL method:F - FIRST: the first term in either bracket, multiply: 2x(9x) = 18x 2 . O - OUTSIDE: the terms further from the centre of the brackets, multiply: 2x(-2) = -4x. I - INSIDE: the terms close...
AH
Answered by Aaron H. Maths tutor
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Jim weighs 74.2kg, Connie weighs 67.8kg and Jane weighs 69.4kg. What is the range in their weights?

Range is biggest possible difference, so we need to find the largest weight and the smallest weight given to us: Heaviest = 74.2kg (Jim) Lightest = 67.8kg (Connie) To find the difference take away the smalle...
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Answered by Aaron H. Maths tutor
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