m=5,15/m

Solution for m=5,15/m equation:

m=5.15/m

We move all terms to the left:

m-(5.15/m)=0


Domain of the equation: m)!=0

m!=0/1

m!=0

m∈R


We add all the numbers together, and all the variables

m-(+5.15/m)=0

We get rid of parentheses

m-5.15/m=0

We multiply all the terms by the denominator


m*m-5.15=0

Wy multiply elements

m^2-5.15=0

a = 1; b = 0; c = -5.15;
Δ = b2-4ac
Δ = 02-4·1·(-5.15)
Δ = 20.6
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{20.6}}{2*1}=\frac{0-\sqrt{20.6}}{2}
=-\frac{\sqrt{}}{2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{20.6}}{2*1}=\frac{0+\sqrt{20.6}}{2}
=\frac{\sqrt{}}{2}
$