(x-1550*25/x)=0.1

Solution for (x-1550*25/x)=0.1 equation:

(x-1550*25/x)=0.1

We move all terms to the left:

(x-1550*25/x)-(0.1)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+x-1550*25/x)-(0.1)=0

We add all the numbers together, and all the variables

(+x-1550*25/x)-0.1=0

We get rid of parentheses

x-1550*25/x-0.1=0

We multiply all the terms by the denominator


x*x-(0.1)*x-1550*25=0

We add all the numbers together, and all the variables

x*x-(0.1)*x-38750=0

We multiply parentheses

x*x-0.1x-38750=0

Wy multiply elements

x^2-0.1x-38750=0

a = 1; b = -0.1; c = -38750;
Δ = b2-4ac
Δ = -0.12-4·1·(-38750)
Δ = 155000.01
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{-(-0.1)-\sqrt{155000.01}}{2*1}=\frac{0.1-\sqrt{155000.01}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.1)+\sqrt{155000.01}}{2*1}=\frac{0.1+\sqrt{155000.01}}{2}
$