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Question

What is the value of x in the figure if BD < DC?

  1. 4

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Solution

The correct option is A 4
From this figure, we can write
BD×DC=AD2

x(13x)=62=3613xx2=36x213x+36=0x24x9x+36=0x(x4)9(x4)=0(x4)(x9)=0x=4 or x=9

Since BD is small in this figure, x = 4 is the appropriate answer.

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