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How do you solve simultaneous equations?

Simultaneous equations have two unknowns, you need to find out one of the unkowns (eg. x) in terms of the other (e.g. y) in order to solve both unknowns. Using these two examples (x and y) we can construct a...
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Answered by Charlie O. Maths tutor
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Solve 3(3x - 2) = 5x + 10

9x - 6 = 5x + 10 9x - 6 - 5x = 5x + 10 - 5x 4x - 6 = 10 4x - 6 + 6 = 10 + 6 4x = 16 x = 16/4 = 4
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Answered by Suraj P. Maths tutor
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How can we calculate the sinus of 120°?

We can observe that120° represents the sum of two common angles: 30° and 90°. So we can rewrite sin(120°) as sin(30°+90°). Now we are going to use this trigonometric formula in order to calculate the sinuns:...
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Answered by Monica M. Maths tutor
8586 Views

How do I expand a factorised expression?

Take example (x+3)(x-4) We use FOIL - first, outer, inner, last We multiply each part by the other part. First -> x times x = x 2 . Outer -> x times -4 = -4x (remember the minus infront of the 4), Inne...
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Answered by Sarah K. Maths tutor
3871 Views

Express f(x) = x^2 + 5x + 9 in the form (x + a)^2 + b, stating the values of a and b.

The question asks you to complete the square on the function f(x). First, we split the function: f(x) = (x^2 + 5x) + 9 And recognise that we need the form (x^2 + 2k + k^2). Identifying 2k = 5, we have that k...
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Answered by Lee B. Maths tutor
8055 Views