5w^2-40w-50=0

Solution for 5w^2-40w-50=0 equation:

5w^2-40w-50=0

a = 5; b = -40; c = -50;
Δ = b2-4ac
Δ = -402-4·5·(-50)
Δ = 2600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2600}=\sqrt{100*26}=\sqrt{100}*\sqrt{26}=10\sqrt{26}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-10\sqrt{26}}{2*5}=\frac{40-10\sqrt{26}}{10}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+10\sqrt{26}}{2*5}=\frac{40+10\sqrt{26}}{10}
$