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What do you know about every direct variation equation?
If the two variables are X and Y then the equation is always of the form Y = cX where c is a non-zero constant.
What is the future tense of arise?
Will arise (for example, I will arise).
What does extraneous mean What must you do to determine whether a solution is an extraneous solution?
Extraneous means extra and unnecessary. Extraneous solutions are values that can arise from the process of solving the equation but do not in fact satisfy the initial equation. These solutions occur most often when not all parts of the process of solving are not completely reversible - for example, if both sides of the equation are squared at some point.
Need a sentence for arise?
The pharaoh commanded the servants to arise at once.
What is the Difference between true and false roots?
True roots are the actual solutions to an equation, meaning they satisfy the equation when substituted back in. False roots, on the other hand, may arise from the algebraic manipulation of an equation but do not satisfy it when checked. For example, if an equation is manipulated incorrectly, it might yield a false root that does not hold true upon verification. In the context of polynomial equations, true roots correspond to the x-values where the polynomial crosses the x-axis, while false roots do not have this geometric interpretation.
