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Completing the square is nice and easy. If you have an equasion of the form x²+ax+b=0 then simply rewrite the equasion in the form (x+a/2)²-(a/2)² +b=0. This may sound com...

3(x+4) - 2(4x+1)= 3x + 12 - 8x + 2= 3x - 8x + 12 - 2= -5x + 10

6.4 kg

The chain rule is used to find the derivative of an expression in the form h(f(x)) where you have a function in terms of a function of x for example:
h(f(x)) = 2(3x+1)^3 where f(x) = 3x+1
In or...

Quadratic equations take the form ax^2 + bx + c = 0. In the case above, a = 0, b = -5, c = -14. In order to solve it, we can factorise the equation into the form (x+c)(x+d) = 0. The answers are then x = -...