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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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