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x 2 + 5x = 5 Make equal to 0. x 2 +5x - 5 = 0 Recognise that you need to use the quadratic equation. (-b ± sqrt(b 2 -4ac))/2 sub in. (-5 ± sqrt(5 2 -4 1 -5))/2 (-5 ± sqrt(45))/2 x = (-5 + 6.7)/2, x = (-5 - 6...

Because the value, x and its inverse, -1/x should multiply together to give -1. This is proof that two lines are perpendicular (or having the same magnitude of gradient but opposite signs +/- ).

Area of square : Base x Height. Area of Circle : π x (Radius) 2 . Looking at the diagram we are given the dimensions of the base or height of the cube (as all sides are equal in a square) and the diameter of...

Grouping is essentially factorisation, it's just the idea that ax + bx = (a+b)x, which we already know. But the difficulty is in recognising this relationship when x is more complicated, for example when x= ...

(3x-6)(2x-1)