Solving the equation √3n+ 10 = n + 4 yields the solutions n = −2 and n = −3 . Explain why this problem does not have any extraneous solutions.

This problem has no extraneous solution because a square root cannot be negative.

Step-by-step explanation:

√3n+ 10 = n + 4

Plugging in -2 would get

√3(-2)+ 10 = -2 + 4

√-6+ 10 = 2

The square root of -6 is impossible (in terms of real numbers) because squaring something makes it positive (ex: 3^2 and -3^2 both equal +9)

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step-by-step explanation: