Question

Determine the number of the real solutions to each quadratic equation 5v^2-6v+1=0

Answer 1

Step 1

Write the equation

`5v^2\text{ - 6v - 1 = 0}`

Step 2:

Use the quadratic formula to find the values of v.

Step 3:

`\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}`

Step 4

`\begin{gathered} \text{v - 1 = 0} \\ \text{v = 1} \\ 5v\text{ - 1 = 0} \\ \text{5v = 1} \\ \text{v = }(1)/(5) \end{gathered}`

Final answer

2 real solutions