Question

Solve Quadratic Equations Using the Square Root Property :${\left(u+1\right)}^2=45$

Short answer

The required result is $u=\pm 3\sqrt{5}-1$

Step-by-step solution

Given information  .  

The given expression is ${\left(u+1\right)}^2=45$

Use square root property 

$$\begin{gathered} {\left(u+1\right)}^2=45 \\ u+1=\pm \sqrt{45} \\ u+1=\pm 3\sqrt{5} \\ u=3\sqrt{5}-1,-3\sqrt{5}-1 \end{gathered}$$