x-6/x-40=1.4

Solution for x-6/x-40=1.4 equation:

x-6/x-40=1.4

We move all terms to the left:

x-6/x-40-(1.4)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x-6/x-41.4=0

We multiply all the terms by the denominator


x*x-(41.4)*x-6=0

We multiply parentheses

x*x-41.4x-6=0

Wy multiply elements

x^2-41.4x-6=0

a = 1; b = -41.4; c = -6;
Δ = b2-4ac
Δ = -41.42-4·1·(-6)
Δ = 1737.96
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{-(-41.4)-\sqrt{1737.96}}{2*1}=\frac{41.4-\sqrt{1737.96}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-41.4)+\sqrt{1737.96}}{2*1}=\frac{41.4+\sqrt{1737.96}}{2}
$