# Tag Info

### Why do we sometimes lose solutions when solving equations?

If that is the case why do we sometimes lose solutions when solving equations? We don't. If we take an equation and perform valid operations on it, we will never lose any solutions. If we look back ...
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### Why do we sometimes lose solutions when solving equations?

One frequent cause of losing solutions is dividing by something that could be $0$. For example, you get an equation of the form $$a b = b c$$ and you jump to the conclusion $a = c$ without taking ...
• 441k

### Why do we sometimes lose solutions when solving equations?

We lose solutions for the same reason that we lose keys, or lose our glasses: it is because we are not careful. If we are careful when solving equations, we will not lose solutions.
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### Why do we sometimes lose solutions when solving equations?

TL;DR (short response) $$\text{operation"} \neq \text{function"}.$$ But if we remove references to functions from the question, the question is a good one. Discussion The problem with the ...
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Accepted

• 441k
1 vote
Accepted

### Volume of A Solid in 3-space consisting of all points (x,y,z) satisfying the Inequality.

Since you tagged this as pre-calc, I will answer that level. A circle is a special case of an ellipse (a = b = r). The area formula as a result will be $$A = \pi \times r^2$$ The formula for the ...

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