1.x-1/x=1.15

Solution for 1.x-1/x=1.15 equation:

1.x-1/x=1.15

We move all terms to the left:

1.x-1/x-(1.15)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x-1/x-1.15=0

We multiply all the terms by the denominator


x*x-(1.15)*x-1=0

We multiply parentheses

x*x-1.15x-1=0

Wy multiply elements

x^2-1.15x-1=0

a = 1; b = -1.15; c = -1;
Δ = b2-4ac
Δ = -1.152-4·1·(-1)
Δ = 5.3225
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{-(-1.15)-\sqrt{5.3225}}{2*1}=\frac{1.15-\sqrt{5.3225}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.15)+\sqrt{5.3225}}{2*1}=\frac{1.15+\sqrt{5.3225}}{2}
$