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Question

Find the roots of the equation 5x26x2=0 by the method of completing the square.

A
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B
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C
x = 5
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D
x = 3
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Solution

The correct option is B
Multiplying the equation throughout by 5, we get 25x230x10=0
This is the same as:
(5x)22×(5x)×3+323210=0
(5x3)2910=0
(5x3)219=0
(5x3)2=19
5x3=±19
x=3±195

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