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Solve x^2 – 6x – 8 = 0 Write your answer in the form a ± √ b where a and b are integers. (Higher tier paper)

To solve this equation we cant use the PSF method, as nothing multiplies to -8 and adds to -6. (Also in the question it says the answer will be in a±b which is normally what you get when you can't factorise)...
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Answered by Alex D. Maths tutor
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Solve the simultaneous equations 2x - y = 13, x - 2y = 11

In order to solve simultaneous equations, you need to make either terms of x (i.e. '2x') or terms of y (i.e. 'y') in equation (1) and equation (2) equal. To do this, multiply either (1) or (2) as shown below...
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Answered by Graciella M. Maths tutor
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FInd the values of x for the following equation holds: x^2-5x+6=0

Factorise (x-3)(x-2) =0 Therefore x-3=0, x=3. Also x-2=0, x=2.
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Answered by Nelson T. Maths tutor
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How do you convert a recurring decimal in to a fraction?

Find 3.6262 (recurring) as a fraction s=3.626262 (recurring) 100s= 362.626262 99s= 100s - s 99s=359 s=359/99
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Answered by Sidhant S. Maths tutor
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Implicitly differentiate the following equation to find dy/dx in terms of x and y: 2x^2y + 2x + 4y – cos (piy) = 17

Firstly remember that each part of the equation can be differentiated separately. Let's label each part: Part A: 2(x^2)y Part B: 2x Part C: 4y Part D: -cos(piy) Part E: 17 Parts B and E are easy to different...
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Answered by Nikhil K. Maths tutor
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