m+(8/m)=6

Solution for m+(8/m)=6 equation:

m+(8/m)=6

We move all terms to the left:

m+(8/m)-(6)=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+(+8/m)-6=0

We get rid of parentheses

m+8/m-6=0

We multiply all the terms by the denominator


m*m-6*m+8=0

We add all the numbers together, and all the variables

-6m+m*m+8=0

Wy multiply elements

m^2-6m+8=0

a = 1; b = -6; c = +8;
Δ = b2-4ac
Δ = -62-4·1·8
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-2}{2*1}=\frac{4}{2}
=2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+2}{2*1}=\frac{8}{2}
=4
$