x^2-1.7*x+0.5=0

Solution for x^2-1.7*x+0.5=0 equation:

x^2-1.7x+0.5=0

a = 1; b = -1.7; c = +0.5;
Δ = b2-4ac
Δ = -1.72-4·1·0.5
Δ = 0.89
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{-(-1.7)-\sqrt{0.89}}{2*1}=\frac{1.7-\sqrt{0.89}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.7)+\sqrt{0.89}}{2*1}=\frac{1.7+\sqrt{0.89}}{2}
$