Well x=1 always unless it tells you other wise so 1+0.5 would equal 1.5 and so after that you keep adding so 1.5 + 0.5 equal 2 so you keep taking the previous answer and adding 0.5 to it
Answer: x = 1.28 or -1.28
Let the partitions of the segment be 5k and 3k .
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5k+3k = length of segment
Suppose the length of segment is y
8k = y
k = y/8
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Hence ,
5k = 5(y/8)
3k = 3(y/8)
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As the value of the segment wasn't given , it seems a bit complicated..
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Hope u understand!