x+6/x+9=1.4

Solution for x+6/x+9=1.4 equation:

x+6/x+9=1.4

We move all terms to the left:

x+6/x+9-(1.4)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x+6/x+7.6=0

We multiply all the terms by the denominator


x*x+(7.6)*x+6=0

We multiply parentheses

x*x+7.6x+6=0

Wy multiply elements

x^2+7.6x+6=0

a = 1; b = 7.6; c = +6;
Δ = b2-4ac
Δ = 7.62-4·1·6
Δ = 33.76
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7.6)-\sqrt{33.76}}{2*1}=\frac{-7.6-\sqrt{33.76}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.6)+\sqrt{33.76}}{2*1}=\frac{-7.6+\sqrt{33.76}}{2}
$