# 147/x=3x

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## Solution for 147/x=3x equation:

147/x=3x
We move all terms to the left:
147/x-(3x)=0

Domain of the equation: x!=0
x∈R

We add all the numbers together, and all the variables
-3x+147/x=0
We multiply all the terms by the denominator

-3x*x+147=0
Wy multiply elements
-3x^2+147=0
a = -3; b = 0; c = +147;Δ = b2-4acΔ = 02-4·(-3)·147Δ = 1764The delta value is higher than zero, so the equation has two solutionsWe use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42}{2*-3}=\frac{-42}{-6} =+7$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42}{2*-3}=\frac{42}{-6} =-7$

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