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For this question we will be using the substitution method in order to solve this question. Firstly we will take the less complex equation and rearrange to make either x or y the subject of the formula. W...

(x+2)² -16 = 0 (x+2)² = 16 x+2 = -4 or +4 x = 2 or -6

The trick to finding y in this question is to interpret the clue in the question of 'directly proportional'. Directly proportional means that the y and the (x-1)² scale by the same amount. Anot...

Start by multiplying any 2 brackets together: (x + 1)(x + 2): Split the 1st bracket: x(x+2) + 1(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2 Then multiply that answer with the last bracket: (x + 3)(x^2 + 3x + 2...

Sub 2.5 into equation
it returns 6.75 so x<2.5
sub 2.25
it returns -0.96875 so 2.25<x<2.5
sub 2.4
it returns 3.448 so 2.25<x<2.4
sub 2.3
it returns 0.434...