3.5x=14.7/x

Solution for 3.5x=14.7/x equation:

3.5x=14.7/x

We move all terms to the left:

3.5x-(14.7/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

3.5x-(+14.7/x)=0

We get rid of parentheses

3.5x-14.7/x=0

We multiply all the terms by the denominator


(3.5x)*x-14.7=0

We add all the numbers together, and all the variables

(+3.5x)*x-14.7=0

We multiply parentheses

3x^2-14.7=0

a = 3; b = 0; c = -14.7;
Δ = b2-4ac
Δ = 02-4·3·(-14.7)
Δ = 176.4
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{176.4}}{2*3}=\frac{0-\sqrt{176.4}}{6}
=-\frac{\sqrt{}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{176.4}}{2*3}=\frac{0+\sqrt{176.4}}{6}
=\frac{\sqrt{}}{6}
$