SOLUTION: B is between A and C, BC = 2x², AC = 64, AB = BC. Find x

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Question 1186853: B is between A and C, BC = 2x², AC = 64, AB = BC. Find x
Answer by ikleyn(52803) About Me  (Show Source):
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B is between A and C, BC = 2x², AC = 64, AB = BC. Find x
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As it is clear from the condition,  BC is half of AC,  which gives you this equation


    2x^2 = 64/2,

or

    2x^2  = 32.


Hence,  x^2 = 32/2 = 16  and  x = sqrt%2816%29 = 4.    ANSWER

Solved.

We choose the positive value of the square root due to obvious reason.