5z^2-6z-85z=0

Solution for 5z^2-6z-85z=0 equation:

5z^2-6z-85z=0

We add all the numbers together, and all the variables

5z^2-91z=0

a = 5; b = -91; c = 0;
Δ = b2-4ac
Δ = -912-4·5·0
Δ = 8281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8281}=91$
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-91)-91}{2*5}=\frac{0}{10}
=0
$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-91)+91}{2*5}=\frac{182}{10}
=18+1/5
$