(19/1334)x-(383/24)=0

Solution for (19/1334)x-(383/24)=0 equation:

(19/1334)x-(383/24)=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-(+383/24)=0

We multiply parentheses

19x^2-(+383/24)=0

We get rid of parentheses

19x^2-383/24=0

We multiply all the terms by the denominator


19x^2*24-383=0

Wy multiply elements

456x^2-383=0

a = 456; b = 0; c = -383;
Δ = b2-4ac
Δ = 02-4·456·(-383)
Δ = 698592
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:

$\sqrt{\Delta}=\sqrt{698592}=\sqrt{16*43662}=\sqrt{16}*\sqrt{43662}=4\sqrt{43662}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{43662}}{2*456}=\frac{0-4\sqrt{43662}}{912}
=-\frac{4\sqrt{43662}}{912}
=-\frac{\sqrt{43662}}{228}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{43662}}{2*456}=\frac{0+4\sqrt{43662}}{912}
=\frac{4\sqrt{43662}}{912}
=\frac{\sqrt{43662}}{228}
$