3.55/m=m

Solution for 3.55/m=m equation:

3.55/m=m

We move all terms to the left:

3.55/m-(m)=0


Domain of the equation: m!=0

m∈R


We add all the numbers together, and all the variables

-1m+3.55/m=0

We multiply all the terms by the denominator


-1m*m+3.55=0

Wy multiply elements

-1m^2+3.55=0

a = -1; b = 0; c = +3.55;
Δ = b2-4ac
Δ = 02-4·(-1)·3.55
Δ = 14.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{14.2}}{2*-1}=\frac{0-\sqrt{14.2}}{-2}
=-\frac{\sqrt{}}{-2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{14.2}}{2*-1}=\frac{0+\sqrt{14.2}}{-2}
=\frac{\sqrt{}}{-2}
$