1764/x^2=4

Solution for 1764/x^2=4 equation:

1764/x^2=4

We move all terms to the left:

1764/x^2-(4)=0


Domain of the equation: x^2!=0

x^2!=0/

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-4*x^2+1764=0

We add all the numbers together, and all the variables

-4x^2+1764=0

a = -4; b = 0; c = +1764;
Δ = b2-4ac
Δ = 02-4·(-4)·1764
Δ = 28224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28224}=168$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-168}{2*-4}=\frac{-168}{-8}
=+21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+168}{2*-4}=\frac{168}{-8}
=-21
$