5.6/x=8.x=7

Solution for 5.6/x=8.x=7 equation:

5.6/x=8.x=7

We move all terms to the left:

5.6/x-(8.x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

5.6/x-(+8.x)=0

We get rid of parentheses

5.6/x-8.x=0

We multiply all the terms by the denominator


-(8.x)*x+5.6=0

We add all the numbers together, and all the variables

-(+8.x)*x+5.6=0

We multiply parentheses

-8x^2+5.6=0

a = -8; b = 0; c = +5.6;
Δ = b2-4ac
Δ = 02-4·(-8)·5.6
Δ = 179.2
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{179.2}}{2*-8}=\frac{0-\sqrt{179.2}}{-16}
=-\frac{\sqrt{}}{-16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{179.2}}{2*-8}=\frac{0+\sqrt{179.2}}{-16}
=\frac{\sqrt{}}{-16}
$