x^2+9.5x+17.5=0

Solution for x^2+9.5x+17.5=0 equation:

x^2+9.5x+17.5=0

a = 1; b = 9.5; c = +17.5;
Δ = b2-4ac
Δ = 9.52-4·1·17.5
Δ = 20.25
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{-(9.5)-\sqrt{20.25}}{2*1}=\frac{-9.5-\sqrt{20.25}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9.5)+\sqrt{20.25}}{2*1}=\frac{-9.5+\sqrt{20.25}}{2}
$