l(1/4l)=9

Solution for l(1/4l)=9 equation:

l(1/4l)=9

We move all terms to the left:

l(1/4l)-(9)=0


Domain of the equation: 4l)!=0

l!=0/1

l!=0

l∈R


We add all the numbers together, and all the variables

l(+1/4l)-9=0

We multiply parentheses

l^2-9=0

a = 1; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·1·(-9)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6}{2*1}=\frac{-6}{2}
=-3
$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*1}=\frac{6}{2}
=3
$