3f-(81f)2=0

Solution for 3f-(81f)2=0 equation:

3f-(81f)2=0

We add all the numbers together, and all the variables

-81f^2+3f=0

a = -81; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-81)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-81}=\frac{-6}{-162}
=1/27
$
$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-81}=\frac{0}{-162}
=0
$