441=1/27m*

Solution for 441=1/27m* equation:

441=1/27m*

We move all terms to the left:

441-(1/27m*)=0


Domain of the equation: 27m*)!=0

m!=0/1

m!=0

m∈R


We add all the numbers together, and all the variables

-(+1/27m*)+441=0

We get rid of parentheses

-1/27m*+441=0

We multiply all the terms by the denominator


441*27m*-1=0

Wy multiply elements

11907m^2-1=0

a = 11907; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·11907·(-1)
Δ = 47628
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{47628}=\sqrt{15876*3}=\sqrt{15876}*\sqrt{3}=126\sqrt{3}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-126\sqrt{3}}{2*11907}=\frac{0-126\sqrt{3}}{23814}
=-\frac{126\sqrt{3}}{23814}
=-\frac{\sqrt{3}}{189}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+126\sqrt{3}}{2*11907}=\frac{0+126\sqrt{3}}{23814}
=\frac{126\sqrt{3}}{23814}
=\frac{\sqrt{3}}{189}
$