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# Is $ 0.2 $ a root of the equation $ x^{2}-0.4=0 $ ? Justify.

To do:

We have to find whether \( 0.2 \) is a root of the equation \( x^{2}-0.4=0 \).

Solution:

To check whether \( 0.2 \) is a root of the equation \( x^{2}-0.4=0 \), we have to check whether it satisfies the given quadratic equation.

Therefore,

LHS $=(0.2)^2-0.4=0.04-0.4$

$=-0.36$

RHS $=0$

LHS $≠$ RHS

Hence, \( 0.2 \) is not a root of the equation \( x^{2}-0.4=0 \).

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