x+17/100x=21.06

Solution for x+17/100x=21.06 equation:

x+17/100x=21.06

We move all terms to the left:

x+17/100x-(21.06)=0


Domain of the equation: 100x!=0

x!=0/100

x!=0

x∈R


We add all the numbers together, and all the variables

x+17/100x-21.06=0

We multiply all the terms by the denominator


x*100x-(21.06)*100x+17=0

We multiply parentheses

x*100x-2106x+17=0

Wy multiply elements

100x^2-2106x+17=0

a = 100; b = -2106; c = +17;
Δ = b2-4ac
Δ = -21062-4·100·17
Δ = 4428436
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:

$\sqrt{\Delta}=\sqrt{4428436}=\sqrt{4*1107109}=\sqrt{4}*\sqrt{1107109}=2\sqrt{1107109}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2106)-2\sqrt{1107109}}{2*100}=\frac{2106-2\sqrt{1107109}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2106)+2\sqrt{1107109}}{2*100}=\frac{2106+2\sqrt{1107109}}{200}
$