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Question

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

A
3195
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B
5+195
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C
3+195
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D
5195
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Solution

The correct options are
A 3195
C 3+195
We have, 5x26x2=0

Dividing throughout by 5, we get

x265x25=0

x265x=25

Adding the square of one-half of the coefficient of x to both sides,

x2(65)x+(35)2=25+(35)2

x22(35)x+(35)2=1925

(x35)2=1925

x35=±195

x=35±195=3±195

x=3+195 , x=3195

Hence, the roots of the given equation are 3+195 and 3195.

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