x2+x+2/9=0

Solution for x2+x+2/9=0 equation:

x2+x+2/9=0

We add all the numbers together, and all the variables

x^2+x+2/9=0

We multiply all the terms by the denominator


x^2*9+x*9+2=0

Wy multiply elements

9x^2+9x+2=0

a = 9; b = 9; c = +2;
Δ = b2-4ac
Δ = 92-4·9·2
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-3}{2*9}=\frac{-12}{18}
=-2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+3}{2*9}=\frac{-6}{18}
=-1/3
$