X+8/100x=10000

Solution for X+8/100x=10000 equation:

X+8/100X=10000

We move all terms to the left:

X+8/100X-(10000)=0


Domain of the equation: 100X!=0

X!=0/100

X!=0

X∈R


We multiply all the terms by the denominator


X*100X-10000*100X+8=0

Wy multiply elements

100X^2-1000000X+8=0

a = 100; b = -1000000; c = +8;
Δ = b2-4ac
Δ = -10000002-4·100·8
Δ = 999999996800
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:

$\sqrt{\Delta}=\sqrt{999999996800}=\sqrt{78400*12755102}=\sqrt{78400}*\sqrt{12755102}=280\sqrt{12755102}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1000000)-280\sqrt{12755102}}{2*100}=\frac{1000000-280\sqrt{12755102}}{200}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1000000)+280\sqrt{12755102}}{2*100}=\frac{1000000+280\sqrt{12755102}}{200}
$