w2+3w-23,716=0

Solution for w2+3w-23,716=0 equation:

w2+3w-23.716=0

We add all the numbers together, and all the variables

w^2+3w-23.716=0

a = 1; b = 3; c = -23.716;
Δ = b2-4ac
Δ = 32-4·1·(-23.716)
Δ = 103.864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{103.864}}{2*1}=\frac{-3-\sqrt{103.864}}{2}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{103.864}}{2*1}=\frac{-3+\sqrt{103.864}}{2}
$