m+2.5=4.6/m=2.9

Solution for m+2.5=4.6/m=2.9 equation:

m+2.5=4.6/m=2.9

We move all terms to the left:

m+2.5-(4.6/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-(+4.6/m)+2.5=0

We get rid of parentheses

m-4.6/m+2.5=0

We multiply all the terms by the denominator


m*m+(2.5)*m-4.6=0

We multiply parentheses

m*m+2.5m-4.6=0

Wy multiply elements

m^2+2.5m-4.6=0

a = 1; b = 2.5; c = -4.6;
Δ = b2-4ac
Δ = 2.52-4·1·(-4.6)
Δ = 24.65
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{-(2.5)-\sqrt{24.65}}{2*1}=\frac{-2.5-\sqrt{24.65}}{2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.5)+\sqrt{24.65}}{2*1}=\frac{-2.5+\sqrt{24.65}}{2}
$