1/3x^2-1587=0

Solution for 1/3x^2-1587=0 equation:

1/3x^2-1587=0


Domain of the equation: 3x^2!=0

x^2!=0/3

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-1587*3x^2+1=0

Wy multiply elements

-4761x^2+1=0

a = -4761; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-4761)·1
Δ = 19044
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19044}=138$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-138}{2*-4761}=\frac{-138}{-9522}
=1/69
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+138}{2*-4761}=\frac{138}{-9522}
=-1/69
$