Question

Please help me with this problem:What are the solutions to this equation?(t+2)^2 = 36Enter your answers in the boxes.The solutions are t = ___ or t = ___.

Answer 1

Given the equation;

`(t+2)^2=36`

Step 1: Take square root of both sides;

`\begin{gathered} √((t+2)^2)=√(36) \\ \\ t+2=\pm6 \end{gathered}`

Step 2: Subtract 2 from both sides;

`\begin{gathered} t+2-2=-2\pm6 \\ \\ t=-2\pm6 \end{gathered}`

Step 3: Separate the answers;

`\begin{gathered} t=-2-6,t=-2+6 \\ \\ t=-8,t=4 \end{gathered}`

ANSWER:

`t=-8, t=4`