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Question

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


A

5±193

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B

3±195

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C

5

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D

3

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Solution

The correct option is B

3±195


Multiply the equation by 5.

we get 25x230x10=0

(5x)2[2×(5x)×3]+323210=0
(5x3)2910=0(5x3)219=0(5x3)2=195x3=±19x=3±195

Roots of the equation are 3+195 & 3195


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