Signment \begin{tabular}{l} HW Score: 23.03\%, 11.29 of 49 points \ \hline Solve the following equation. \ $$ \begin{array}{l}(x+14)^{2}=19\end{array} $$ \ $$ \begin{array}{l} ext { Select the correct choice below and, if necessary, fill in the } \ ext { answer box(es) to complete your choice. }\end{array} $$ \ $$ \begin{array}{l} ext { A. The solution(s) is(are) } x= \ ext { (Simplify your answer. Type an exact answer, using radicals } 1 \ ext { as needed. Use a comma to separate answers as needed) }\end{array} $$ \ \hline\end{tabular}

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Signment \begin{tabular}{l} HW Score: 23.03\%, 11.29 of 49 points \ \hline Solve the following equation. \ $$ \begin{array}{l}(x+14)^{2}=19\end{array} $$ \ $$ \begin{array}{l}	ext { Select the correct choice below and, if necessary, fill in the } \ 	ext { answer box(es) to complete your choice. }\end{array} $$ \ $$ \begin{array}{l}	ext { A. The solution(s) is(are) } x= \ 	ext { (Simplify your answer. Type an exact answer, using radicals } 1 \ 	ext { as needed. Use a comma to separate answers as needed) }\end{array} $$ \ \hline\end{tabular}

UpStudy AI · Accepted Answer

1. Start with the equation:
   $$
   (x+14)^2 = 19
   $$

2. Take the square root of both sides, remembering to include the positive and negative roots:
   $$
   x+14=\pm \sqrt{19}
   $$

3. Solve for $$ x $$ by subtracting $$ 14 $$ from both sides:
   $$
   x = -14 \pm \sqrt{19}
   $$

Thus, the solutions are:
$$
x = -14+\sqrt{19},\quad x = -14-\sqrt{19}
$$
The solutions are $$ x = -14 + \sqrt{19} $$ and $$ x = -14 - \sqrt{19} $$.

Signment

HW Score: 23.03%, 11.29 of 49 points

Solve the following equation.

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Signment HW Score: 23.03%, 11.29 of 49 points Solve the following equation.