8000(1+(0.02/12))^12.12=x

Solution for 8000(1+(0.02/12))^12.12=x equation:

8000(1+(0.02/12))^12.12=x

We move all terms to the left:

8000(1+(0.02/12))^12.12-(x)=0

We add all the numbers together, and all the variables

-x+8000(1+(+0.02/12))^12.12=0

We add all the numbers together, and all the variables

-1x+8000(1+(+0.02/12))^12.12=0

We multiply all the terms by the denominator


-1x*12))^12.12+8000(1+(+0.02=0

Wy multiply elements

-12x^2+0.02=0

a = -12; b = 0; c = +0.02;
Δ = b2-4ac
Δ = 02-4·(-12)·0.02
Δ = 0.96
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{-(0)-\sqrt{0.96}}{2*-12}=\frac{0-\sqrt{0.96}}{-24}
=-\frac{\sqrt{}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.96}}{2*-12}=\frac{0+\sqrt{0.96}}{-24}
=\frac{\sqrt{}}{-24}
$