Solve $$ (-3 z-1)^{2}-9=0 $$ List them separated by commas, for example: $$ \frac{2}{3}, \frac{5}{2} $$ type " $$ 2 / 3,5 / 2^{ ext {" }} $$

Question

Solve $$ (-3 z-1)^{2}-9=0 $$ List them separated by commas, for example: $$ \frac{2}{3}, \frac{5}{2} $$ type " $$ 2 / 3,5 / 2^{	ext {" }} $$

UpStudy AI · Accepted Answer

Solve the equation $$ (-3z-1)^{2}-9=0 $$.
Solve the quadratic equation by following steps:
- step0: Solve using square roots:
  $$\left(-3z-1ight)^{2}-9=0$$
- step1: Add or subtract both sides:
  $$\left(-3z-1ight)^{2}=9$$
- step2: Simplify the expression:
  $$-3z-1=\pm \sqrt{9}$$
- step3: Simplify the expression:
  $$-3z-1=\pm 3$$
- step4: Separate into possible cases:
  $$\begin{align}&-3z-1=3\&-3z-1=-3\end{align}$$
- step5: Solve the equation:
  $$\begin{align}&z=-\frac{4}{3}\&z=\frac{2}{3}\end{align}$$
- step6: Rewrite:
  $$z_{1}=-\frac{4}{3},z_{2}=\frac{2}{3}$$
The solutions to the equation $$ (-3z-1)^{2}-9=0 $$ are $$ z = -\frac{4}{3} $$ and $$ z = \frac{2}{3} $$.
$$ z = -\frac{4}{3}, \frac{2}{3} $$

Solve
List them separated by commas, for example: type "

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions

Solve List them separated by commas, for example: type "