Question: Please could someone help me with the following question. I know what the answer is! I just don't know how to solve it! 12 (i)

Please could someone help me with the following question. I know what the answer is! I just don't know how to solve it!

12 (i) A line segment of unit length is split into two parts such that the ratio of the whole to the longest part is equal to the ratio of the longer part to the shorter part. Given that the longer part is a, establish that: X X 1-X [2 marks] (ii) Solve the equation _ X x 1-x for x. [4 marks] (iii) The Golden Ratio is a number that has the property that its reciprocal is equal to one more than the Golden Ratio. Show that x has this property. [3 marks]

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