1.895*x^2-x-1=0

Solution for 1.895*x^2-x-1=0 equation:

1.895x^2-x-1=0

We add all the numbers together, and all the variables

1.895x^2-1x-1=0

a = 1.895; b = -1; c = -1;
Δ = b2-4ac
Δ = -12-4·1.895·(-1)
Δ = 8.58
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{8.58}}{2*1.895}=\frac{1-\sqrt{8.58}}{3.79}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{8.58}}{2*1.895}=\frac{1+\sqrt{8.58}}{3.79}
$