0=-1.86x^2-8x+17

Solution for 0=-1.86x^2-8x+17 equation:

0=-1.86x^2-8x+17

We move all terms to the left:

0-(-1.86x^2-8x+17)=0

We add all the numbers together, and all the variables

-(-1.86x^2-8x+17)=0

We get rid of parentheses

1.86x^2+8x-17=0

a = 1.86; b = 8; c = -17;
Δ = b2-4ac
Δ = 82-4·1.86·(-17)
Δ = 190.48
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{-(8)-\sqrt{190.48}}{2*1.86}=\frac{-8-\sqrt{190.48}}{3.72}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+\sqrt{190.48}}{2*1.86}=\frac{-8+\sqrt{190.48}}{3.72}
$