x(1,063^10-1)/1,063-1=100000*1,063^10

Solution for x(1,063^10-1)/1,063-1=100000*1,063^10 equation:

x(1.063^10-1)/1.063-1=100000*1.063^10

We move all terms to the left:

x(1.063^10-1)/1.063-1-(100000*1.063^10)=0

We add all the numbers together, and all the variables

x(1.063^10-1)/1.063-184219.246976=0

We multiply all the terms by the denominator


x(1.063^10-1)-(184219.246976)*1.063=0

We add all the numbers together, and all the variables

x(1.063^10-1)-195825.059535=0

We multiply parentheses

x^2-1x-195825.059535=0

a = 1; b = -1; c = -195825.059535;
Δ = b2-4ac
Δ = -12-4·1·(-195825.059535)
Δ = 783301.23814
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{-(-1)-\sqrt{783301.23814}}{2*1}=\frac{1-\sqrt{783301.23814}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{783301.23814}}{2*1}=\frac{1+\sqrt{783301.23814}}{2}
$