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# 3 times the square root of the quantity of x plus 6 equals negative 12 an extraneous solution?

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3 times the square root of the quantity of x plus 6 equals negative 12 an extraneous solution?

Feb 16, 2021

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$$3+\sqrt{x}+6=-12$$

$$\sqrt{x} = -21$$

No real number has a negative square root, so the solutions to this equation are extraneous.

Feb 20, 2021