1 Answer

Cyrus Loree · Answer 1 · 2023-04-21T01:10:46+0000

Starting with the given equation, substract 11 from each member:

$\begin{gathered} 11+\sqrt[]{1-3x}=15 \\ \Rightarrow11+\sqrt[]{1-3x}-1=15-11 \\ \Rightarrow\sqrt[]{1-3x}=4 \end{gathered}$

Raise both members to the power of 2:

$\begin{gathered} \Rightarrow(\sqrt[]{1-3x})^2=4^2 \\ \Rightarrow1-3x=16 \end{gathered}$

Solve for x:

$\begin{gathered} \Rightarrow-3x=16-1 \\ \Rightarrow-3x=15 \\ \Rightarrow x=(15)/(-3) \\ \Rightarrow x=-5 \end{gathered}$

Therefore, the answer is:

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