2.4(1.3^)x=9.6

Solution for 2.4(1.3^)x=9.6 equation:

2.4(1.3^)x=9.6

We move all terms to the left:

2.4(1.3^)x-(9.6)=0

We add all the numbers together, and all the variables

2.4(1.3^)x-9.6=0

We multiply parentheses

2x^2-9.6=0

a = 2; b = 0; c = -9.6;
Δ = b2-4ac
Δ = 02-4·2·(-9.6)
Δ = 76.8
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{76.8}}{2*2}=\frac{0-\sqrt{76.8}}{4}
=-\frac{\sqrt{}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{76.8}}{2*2}=\frac{0+\sqrt{76.8}}{4}
=\frac{\sqrt{}}{4}
$