6m-7-1/m=0

Solution for 6m-7-1/m=0 equation:

6m-7-1/m=0


Domain of the equation: m!=0

m∈R


We multiply all the terms by the denominator


6m*m-7*m-1=0

We add all the numbers together, and all the variables

-7m+6m*m-1=0

Wy multiply elements

6m^2-7m-1=0

a = 6; b = -7; c = -1;
Δ = b2-4ac
Δ = -72-4·6·(-1)
Δ = 73
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{-(-7)-\sqrt{73}}{2*6}=\frac{7-\sqrt{73}}{12}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{73}}{2*6}=\frac{7+\sqrt{73}}{12}
$