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Always indicate, if the domain for some variables must be restricted. (a) let o, a, b, c ∈ r. solve the following equation for b ∈ r: ab ac bc = o 2

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User Thias
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1 Answer

3 votes

Final answer:

Due to a potential typo in the question, solving the equation for b is not possible without the correct form of the equation. Generally, to solve for b, the equation needs to isolate b on one side, assuming all other variables are known and there's no division by zero.

Step-by-step explanation:

To solve the equation ab ac bc = o 2 for b when o, a, c, and b are elements of the real numbers (), we must assume that there are no typos and that o 2 is meant to represent a constant, which we will refer to as k. However, without a clear equation due to the potential typo, we cannot provide a definitive solution. Typically, to solve for one variable, we need to have an equation with one unknown or all other variables known.

In general, solving such equations involves isolating b on one side of the equation. If the actual equation follows the standard form and there are no other constraints or typos, we would divide both sides by ac to get b on one side, assuming a and c are nonzero. If the expression involves terms that could result in division by zero, we would need to restrict the domain accordingly.

As with any equation, when you know all but one variable in the expression, you can determine the remaining variable by using algebra.

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User Chiranjib
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