Determing whether an equation is linear

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The discussion centers on the classification of linear equations, specifically addressing the equations labeled as (a) and (f). It is established that linear equations must not contain roots of variables. A participant suggests that if equation (a) includes $-\sqrt{2x_3}$, it cannot be classified as linear, proposing a correction to $-\sqrt{2} \hspace{1 mm} x_3$ to maintain linearity. This highlights the importance of proper notation in identifying linear equations.

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delgeezee
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Linear equations do not have roots of variables.
So why are a) and f) linear equations?

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Hi delgeezee, (Wave)

Welcome to MHB! :)

I agree that if (a) contains $-\sqrt{2x_3}$ then it isn't a linear equation. Perhaps it is a typo and it should be $-\sqrt{2} \hspace{1 mm} x_3$?

Jameson
 

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