x-2/x=0.85

Solution for x-2/x=0.85 equation:

x-2/x=0.85

We move all terms to the left:

x-2/x-(0.85)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x-2/x-0.85=0

We multiply all the terms by the denominator


x*x-(0.85)*x-2=0

We multiply parentheses

x*x-0.85x-2=0

Wy multiply elements

x^2-0.85x-2=0

a = 1; b = -0.85; c = -2;
Δ = b2-4ac
Δ = -0.852-4·1·(-2)
Δ = 8.7225
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{-(-0.85)-\sqrt{8.7225}}{2*1}=\frac{0.85-\sqrt{8.7225}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.85)+\sqrt{8.7225}}{2*1}=\frac{0.85+\sqrt{8.7225}}{2}
$