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Solve the simultaneous equations: 12x - 4y = 12 (1) and 3x + 2y = 12 (2)

3x + 2y = 12 (2) multiply by 4 (To make the x coefficients equal for both equations) 12x + 8y = 48 (3) (3) - (1) 12y = 36 Divide through by 12 y = 3 Sub y = 3 into equation (2) 3x + 2(3) = 12 3x + 6 = 12 3x ...
RJ
Answered by Rees J. • Maths tutor
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Solve the quadratic equation x^2 + x - 20 = 0

Factorising the left hand side we get x 2 + x - 6 = (x + 5)(x - 4). Therefore x 2 + x - 6 = 0 is the same as (x + 5)(x - 4) = 0. If multiplying two quantities equals 0, this means that one of the two must eq...
LJ
Answered by Lizlie J. • Maths tutor
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OCR M2 A level maths June 2015 question 8

In circular motion F = mv 2 /rPlug numbers in ... 6 = 0.4* v 2 / 0.6 ... and rearrange for v = plus or minus 3. Velocity is a vector so it doesn't matter which value you take as it will go round the same cyl...
JS
Answered by Joe S. • Maths tutor
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Find the integral of xcos(2x) with respect to x

You can see that this question is asking you to do integration by parts. Remember that the integral of uv' is equal to uv - the integral of u'v. You want to find a u that gets easier when you differentiate i...
KJ
Answered by Krystian J. • Maths tutor
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how would you expand quadratic factors

Using the crab method draw lines from each term in the first bracket to the terms in the next bracket only once ensuring the lines do not crossover. A crab like claw should appear, add terms of the same powe...
RP
Answered by Ricken P. • Maths tutor
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