Q. 24 - Intermediate Algebra

Question

In the following exercises, solve each equation.

${(v+10)}^2=121$

Step-by-Step Solution

Answer

The solution of the equation is $v=1,-21$

Step 1. Given information

In the given question we have to solve given equation. 

${(v+10)}^2=121$

Step 2. The given equation is ( v + 10 ) 2 = 121

Use the Square Root Property.

$v+10=\pm \sqrt{121}$

Step 3. Simplify the radical.

$v+10=\pm 11$

Subtract 10 on both side

$$\begin{gathered} v+10-10=-10\pm 11 \\ v=-10\pm 11 \end{gathered}$$

Step 4. Solve for v .

$$\begin{gathered} v=-10+11 v=-10-11 \\ v=1 v=-21 \end{gathered}$$