948x=3/x

Solution for 948x=3/x equation:

948x=3/x

We move all terms to the left:

948x-(3/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

948x-(+3/x)=0

We get rid of parentheses

948x-3/x=0

We multiply all the terms by the denominator


948x*x-3=0

Wy multiply elements

948x^2-3=0

a = 948; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·948·(-3)
Δ = 11376
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{11376}=\sqrt{144*79}=\sqrt{144}*\sqrt{79}=12\sqrt{79}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{79}}{2*948}=\frac{0-12\sqrt{79}}{1896}
=-\frac{12\sqrt{79}}{1896}
=-\frac{\sqrt{79}}{158}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{79}}{2*948}=\frac{0+12\sqrt{79}}{1896}
=\frac{12\sqrt{79}}{1896}
=\frac{\sqrt{79}}{158}
$