2.9x^2-x-2=0

Solution for 2.9x^2-x-2=0 equation:

2.9x^2-x-2=0

We add all the numbers together, and all the variables

2.9x^2-1x-2=0

a = 2.9; b = -1; c = -2;
Δ = b2-4ac
Δ = -12-4·2.9·(-2)
Δ = 24.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{24.2}}{2*2.9}=\frac{1-\sqrt{24.2}}{5.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{24.2}}{2*2.9}=\frac{1+\sqrt{24.2}}{5.8}
$