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First, we need to factorise the denominator and therefore we use this formula: x_1,2 =[ -b + sqrt(b² -4 a c) ]/ (2a). You obtain two roots, x = 2 and x=3 and the integration is simpli...

x² - 8x + 12 = 0 (x - 4)² - 16 + 12 = 0 (x - 4)² - 4 = 0 (x - 4)² = 4 x - 4 = +- 2 x = 6 x = 2

a) First differentiate f(x) using standard polynomial derivative rules which gives, df/dx=-3x^2+4x+3. The derivative function gives the gradient of f for any value of x. Turning points occur when the grad...

We know that sinx/cosx = tanx. Therefore we can write sinx - cosx = 0 as sinx = cosx . By diving both sides by cosx, we get tanx = 1. By taking tan inverse of both sides, we can see that for 0≤x≤360, we g...

We can factorise the quadratic equation by noting that two numbers which multiply to get 24 and that add to get -10 are: -6 and -4. Therefore, we get (X-6)(X-4)=0 and we can solve for X to get X = 6 or X ...