olve. Check for extraneous solutions.
-$\sqrt[4]{\mathrm{x}-1}+6=0$
A) $\{-1296\}$
B) $\{-6\}$
C) $\{1296\}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

To solve the equation $\sqrt[4]{x-1}+6=0$, we first isolate the radical expression: $\sqrt[4]{x-1}=-6$. Since the fourth root of a real number cannot be negative, there are no real solutions to this equation. Therefore, the correct answer is D) $\varnothing$, indicating that there are no solutions.

Olve Check for Extraneous Solutions x−14+6=0\sqrt[4]{\mathrm{x}-1}+6=04x−1​+6=0 A) {−1296}\{-1296\}{−1296} B) {−6}\{-6\}{−6} C) {1296}\{1296\}{1296} D) ∅\varnothing∅

Olve Check for Extraneous Solutions $\sqrt[4]{\mathrm{x}-1}+6=0$ A) $\{-1296\}$ B) $\{-6\}$ C) $\{1296\}$ D) $\varnothing$