(1.0343941^x)*x-7.461=0

Solution for (1.0343941^x)*x-7.461=0 equation:

(1.0343941^x)*x-7.461=0

We multiply parentheses

x^2-7.461=0

a = 1; b = 0; c = -7.461;
Δ = b2-4ac
Δ = 02-4·1·(-7.461)
Δ = 29.844
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{29.844}}{2*1}=\frac{0-\sqrt{29.844}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{29.844}}{2*1}=\frac{0+\sqrt{29.844}}{2}
=\frac{\sqrt{}}{2}
$