0.025=-1.50x+1/x

Solution for 0.025=-1.50x+1/x equation:

0.025=-1.50x+1/x

We move all terms to the left:

0.025-(-1.50x+1/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(-1.5x+1/x)+0.025=0

We get rid of parentheses

1.5x-1/x+0.025=0

We multiply all the terms by the denominator


(1.5x)*x+(0.025)*x-1=0

We add all the numbers together, and all the variables

(+1.5x)*x+(0.025)*x-1=0

We multiply parentheses

x^2+0.025x-1=0

a = 1; b = 0.025; c = -1;
Δ = b2-4ac
Δ = 0.0252-4·1·(-1)
Δ = 4.000625
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{-(0.025)-\sqrt{4.000625}}{2*1}=\frac{-0.025-\sqrt{4.000625}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.025)+\sqrt{4.000625}}{2*1}=\frac{-0.025+\sqrt{4.000625}}{2}
$