x-1.4/x=5

Solution for x-1.4/x=5 equation:

x-1.4/x=5

We move all terms to the left:

x-1.4/x-(5)=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


x*x-5*x-1.4=0

We add all the numbers together, and all the variables

-5x+x*x-1.4=0

Wy multiply elements

x^2-5x-1.4=0

a = 1; b = -5; c = -1.4;
Δ = b2-4ac
Δ = -52-4·1·(-1.4)
Δ = 30.6
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{-(-5)-\sqrt{30.6}}{2*1}=\frac{5-\sqrt{30.6}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{30.6}}{2*1}=\frac{5+\sqrt{30.6}}{2}
$