x=1159.65+(x*10/100)

Solution for x=1159.65+(x*10/100) equation:

x=1159.65+(x*10/100)

We move all terms to the left:

x-(1159.65+(x*10/100))=0

We add all the numbers together, and all the variables

x-(1159.65+(+x*10/100))=0

We multiply all the terms by the denominator


x*100))-(1159.65+(+x*10=0

Wy multiply elements

100x^2+10x=0

a = 100; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·100·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*100}=\frac{-20}{200}
=-1/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*100}=\frac{0}{200}
=0
$