a(240/a)=240

Solution for a(240/a)=240 equation:

a(240/a)=240

We move all terms to the left:

a(240/a)-(240)=0


Domain of the equation: a)!=0

a!=0/1

a!=0

a∈R


We add all the numbers together, and all the variables

a(+240/a)-240=0

We multiply parentheses

240a^2-240=0

a = 240; b = 0; c = -240;
Δ = b2-4ac
Δ = 02-4·240·(-240)
Δ = 230400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{230400}=480$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-480}{2*240}=\frac{-480}{480}
=-1
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+480}{2*240}=\frac{480}{480}
=1
$