Solve $$ (w+4)^{2}-20=0 $$, where $$ w $$ is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click "No solution." $$ w=\Pi $$

Question

UpStudy AI · Accepted Answer

Solve the equation $$ (w+4)^{2}-20=0 $$.
Solve the quadratic equation by following steps:
- step0: Solve using square roots:
  $$\left(w+4ight)^{2}-20=0$$
- step1: Add or subtract both sides:
  $$\left(w+4ight)^{2}=20$$
- step2: Simplify the expression:
  $$w+4=\pm \sqrt{20}$$
- step3: Simplify the expression:
  $$w+4=\pm 2\sqrt{5}$$
- step4: Separate into possible cases:
  $$\begin{align}&w+4=2\sqrt{5}\&w+4=-2\sqrt{5}\end{align}$$
- step5: Move the constant to the right side:
  $$\begin{align}&w=2\sqrt{5}-4\&w=-2\sqrt{5}-4\end{align}$$
- step6: Rewrite:
  $$w_{1}=-2\sqrt{5}-4,w_{2}=2\sqrt{5}-4$$
The solutions to the equation $$ (w+4)^{2}-20=0 $$ are $$ w=-2\sqrt{5}-4 $$ and $$ w=2\sqrt{5}-4 $$.
$$ w=-2\sqrt{5}-4 $$, $$ w=2\sqrt{5}-4 $$

Solve , where is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click “No solution.”

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Algebra Questions

Solve , where is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click “No solution.”