Answer:
The solution set is v=5,-5.
Step-by-step explanation:
Given : Expression [tex]5v^2-125=0[/tex]
To find : The solution set?
Solution :
Step 1 - Write the expression
[tex]5v^2-125=0[/tex]
Step 2 - Add 125 both side,
[tex]5v^2-125+125=125[/tex]
[tex]5v^2=125[/tex]
Step 3 - Divide by 5 both side,
[tex]\frac{5v^2}{5}=\frac{125}{5}[/tex]
[tex]v^2=25[/tex]
Step 4 - Taking root both side,
[tex]\sqrt{v^2}=\sqrt{25}[/tex]
[tex]v=\pm5[/tex]
Therefore, The solution set is v=5,-5.
