x(0.08x)=34.06

Solution for x(0.08x)=34.06 equation:

x(0.08x)=34.06

We move all terms to the left:

x(0.08x)-(34.06)=0

We add all the numbers together, and all the variables

x(+0.08x)-(34.06)=0

We add all the numbers together, and all the variables

x(+0.08x)-34.06=0

We multiply parentheses

0x^2-34.06=0

We add all the numbers together, and all the variables

x^2-34.06=0

a = 1; b = 0; c = -34.06;
Δ = b2-4ac
Δ = 02-4·1·(-34.06)
Δ = 136.24
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{136.24}}{2*1}=\frac{0-\sqrt{136.24}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{136.24}}{2*1}=\frac{0+\sqrt{136.24}}{2}
=\frac{\sqrt{}}{2}
$