What is the field of application of the equation?
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What is the field of application of the equation?
To solve this problem, we will determine the domain, or field of application, of the equation .
Step-by-step solution:
Therefore, the field of application of the equation is all real numbers except where .
Thus, the domain is .
Solve for X:
\( 6 - x = 10 - 2 \)
The field of application (or domain) is all the x-values that make the equation mathematically valid. It's the set of all possible inputs that don't break any mathematical rules.
Division by zero is undefined in mathematics! When , we get , which has no mathematical meaning.
No! The domain depends only on the structure of the equation, not its solution. Just look at what makes denominators zero.
Check every denominator separately! Set each one equal to zero and solve. The domain excludes all values that make any denominator zero.
Not at all! The domain tells you which x-values are allowed, while the solution tells you which x-values actually work. For this problem: domain is x ≠ -5, solution is x = 1.
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