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First, take 4 from both sides of the equation to get everything on the LHS:x^2 - 4x - 17 - 4 = 4 - 4 so we have x^2 - 4x - 21 = 0We are looking to factorise the equation in the following way:(x + a)(x + b...

Begin by collecting log_2 terms.log_2(3x + 7) - log_2(x – 1) + = 3 Using the rule of log terms we getlog_2((3x+7)/(x-1)) = 3 (3x+7)/(x-1) = 2³3x+7 = 8(x-1)3x+7-8x+8 = 0 -5x+15 = 0 x= 3

For the pens to be the same colour either two black pens need to be selected OR two red pens. So start with the probability of two black pens BB: On the first selection the probability of taking a black p...

(Question on topic of algebra taken from June 2016 OCR Past Paper)b) This question may look different to the previous one but it's still only algebra, so it;s pretty much the same. Don't let the unknows s...