10.4=(5)(x)(1.3)x=

Solution for 10.4=(5)(x)(1.3)x= equation:

10.4=(5)(x)(1.3)x=

We move all terms to the left:

10.4-((5)(x)(1.3)x)=0


We calculate terms in parentheses: -(5x(1.3)x), so:

5x(1.3)x

We multiply parentheses

6.5x^2

Back to the equation:

-(6.5x^2)


We get rid of parentheses

-6.5x^2+10.4=0

a = -6.5; b = 0; c = +10.4;
Δ = b2-4ac
Δ = 02-4·(-6.5)·10.4
Δ = 270.4
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{270.4}}{2*-6.5}=\frac{0-\sqrt{270.4}}{-13}
=-\frac{\sqrt{}}{-13}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{270.4}}{2*-6.5}=\frac{0+\sqrt{270.4}}{-13}
=\frac{\sqrt{}}{-13}
$