There is no solution for the equation 2 + √x + 5 = 4 for x ∈ R.
An extraneous solution is one that results from the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation.
A formula known as an equation uses the equals sign (=) to express how two expressions are equal.
Consider the equation,
2 + √x + 5 = 4
√x + 7 = 4
Subtracting 7 from each side of the equation.
√x + 7 - 7 = 4 - 7
√x = - 3
Since √f(x) cannot be negative for x ∈ R.
Hence, there is no solution for x ∈ R of the equation.
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