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You have a general quadratic of the form: ax^2 + bx + c = 0, where a,b,c are constants (although is consistent for functions). Divide by a (assuming a/=0, this would not be a quadratic in that case):x^2 +...

We know that x²+kx-3k-5<0 for some x for the values the k that we are trying to find.This will only occur when the curve has two distinct intersections with the x-axis. There are two distinct intersect...

Line 1 : y = 3x -2. Equation of a line general formula : y = mx + c , where m = gradient. Therefore, for y = 3x - 2, m = 3 and therefore the gradient = 3. Line 2 : 3y - 9...

There are a few different ways to approach this problem but the simplest and most easy to visualise solution comes from sketching the curve y = x² + 5x - 24 and identifying the range of x-value...

We want to find the original price of the computer.We know when 10% of the price was added to the computer it costs £264.So £264 is equal to the original price plus 10% of the original price.To find 10% o...