SOLUTION: Find the product of the solutions of this equation. 8x^2 + 6x + 1=0

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Question 943216: Find the product of the solutions of this equation.
8x^2 + 6x + 1=0

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
In a quadratic equation with 0 on the right side,

If the coefficient of the term in x² is 1, then

1.  The coefficient of the term in x is -1 times the sum of the solutions.
2.  The coefficient of the constant term in x is the product of the solutions.


We start with

8x² + 6x + 1 = 0

We can write an equivalent equation in which the x² term has coefficient 1
by dividing through by 8

x² + 6%2F8x + 1%2F81 = 0

x² + 3%2F4x + 1%2F81 = 0

So the sum of the solutions is -3%2F4

And the product of the solutions is 1%2F8

Edwin