(19/1334)x-(382/24)=0

Solution for (19/1334)x-(382/24)=0 equation:

(19/1334)x-(382/24)=0


Domain of the equation: 1334)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+19/1334)x-(+382/24)=0

We multiply parentheses

19x^2-(+382/24)=0

We get rid of parentheses

19x^2-382/24=0

We multiply all the terms by the denominator


19x^2*24-382=0

Wy multiply elements

456x^2-382=0

a = 456; b = 0; c = -382;
Δ = b2-4ac
Δ = 02-4·456·(-382)
Δ = 696768
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:

$\sqrt{\Delta}=\sqrt{696768}=\sqrt{64*10887}=\sqrt{64}*\sqrt{10887}=8\sqrt{10887}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{10887}}{2*456}=\frac{0-8\sqrt{10887}}{912}
=-\frac{8\sqrt{10887}}{912}
=-\frac{\sqrt{10887}}{114}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{10887}}{2*456}=\frac{0+8\sqrt{10887}}{912}
=\frac{8\sqrt{10887}}{912}
=\frac{\sqrt{10887}}{114}
$