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 + x + 1 = 0
x² + x + 1 = 0
So the sum of the solutions is
And the product of the solutions is
Edwin
