Solution
Step 1
Write the equation
[tex]5v^2\text{ - 6v - 1 = 0}[/tex]Step 2:
Use the quadratic formula to find the values of v.
Step 3:
[tex]\begin{gathered} 5v^2\text{ - 6v + 1 = 0} \\ 5v^2-\text{ 5v - v + 1 = 0} \\ 5v(v\text{ - 1\rparen -1\lparen v - 1\rparen = 0} \\ (v\text{ - 1\rparen\lparen5v - 1\rparen = 0} \end{gathered}[/tex]Step 4
[tex]\begin{gathered} \text{v - 1 = 0} \\ \text{v = 1} \\ 5v\text{ - 1 = 0} \\ \text{5v = 1} \\ \text{v = }\frac{1}{5} \end{gathered}[/tex]Final answer
2 real solutions