a=648/2a

Solution for a=648/2a equation:

a=648/2a

We move all terms to the left:

a-(648/2a)=0


Domain of the equation: 2a)!=0

a!=0/1

a!=0

a∈R


We add all the numbers together, and all the variables

a-(+648/2a)=0

We get rid of parentheses

a-648/2a=0

We multiply all the terms by the denominator


a*2a-648=0

Wy multiply elements

2a^2-648=0

a = 2; b = 0; c = -648;
Δ = b2-4ac
Δ = 02-4·2·(-648)
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*2}=\frac{-72}{4}
=-18
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*2}=\frac{72}{4}
=18
$