For what value of x is the rational expression given equal to zero: (2 - x) / (2 + x)?
(2 - x) / (2 + x) is an example of rational expression. Such types of equations can have more than one variable, and can also have infinite, one or no solutions. These equations are used extensively in many fields of engineering and mathematics. Let's solve a question on this concept.
Answer: The value of x for which the given expression (2 - x) / (2 + x) is zero is x = 2.
Let's understand how we found the answer.
Explanation:
To find the value of x for which the equation (2 - x) / (2 + x) is zero, we equate it to zero.
Hence, (2 - x) / (2 + x) = 0.
Since the denominator cannot be equal to zero, we have to equate the numerator to zero.
Hence, 2 - x = 0 ⇒ x = 2
Hence, the value of x for which the given expression (2 - x) / (2 + x) is zero is x = 2.
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