1+98/100*x=x

Solution for 1+98/100*x=x equation:

1+98/100x=x

We move all terms to the left:

1+98/100x-(x)=0


Domain of the equation: 100x!=0

x!=0/100

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+98/100x+1=0

We multiply all the terms by the denominator


-1x*100x+1*100x+98=0

Wy multiply elements

-100x^2+100x+98=0

a = -100; b = 100; c = +98;
Δ = b2-4ac
Δ = 1002-4·(-100)·98
Δ = 49200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{49200}=\sqrt{400*123}=\sqrt{400}*\sqrt{123}=20\sqrt{123}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-20\sqrt{123}}{2*-100}=\frac{-100-20\sqrt{123}}{-200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+20\sqrt{123}}{2*-100}=\frac{-100+20\sqrt{123}}{-200}
$