SOLUTION: Find a real or imaginary solution 86. 3v^2 + 4v

SOLUTION: Find a real or imaginary solution 86. 3v^2 + 4v - 1 = 0

Question 170965: Find a real or imaginary solution

86. 3v^2 + 4v - 1 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for v:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=3, b=4, and c=-1

Square 4 to get 16

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 3 to get 6

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So the solutions are:

or

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