Solve the equation by the square root property. $$ (2 x+3)^{2}=25 $$

Question

UpStudy AI · Accepted Answer

Solve the equation $$ (2x+3)^2=25 $$.
Solve the quadratic equation by following steps:
- step0: Solve using square roots:
  $$\left(2x+3ight)^{2}=25$$
- step1: Simplify the expression:
  $$2x+3=\pm \sqrt{25}$$
- step2: Simplify the expression:
  $$2x+3=\pm 5$$
- step3: Separate into possible cases:
  $$\begin{align}&2x+3=5\&2x+3=-5\end{align}$$
- step4: Solve the equation:
  $$\begin{align}&x=1\&x=-4\end{align}$$
- step5: Rewrite:
  $$x_{1}=-4,x_{2}=1$$
The solutions to the equation $$ (2x+3)^2=25 $$ using the square root property are $$ x=-4 $$ and $$ x=1 $$.
$$ x=-4 $$ or $$ x=1 $$.

Solve the equation by the square root property.

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Algebra Questions