1008/x^2=28

Solution for 1008/x^2=28 equation:

1008/x^2=28

We move all terms to the left:

1008/x^2-(28)=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


-28*x^2+1008=0

We add all the numbers together, and all the variables

-28x^2+1008=0

a = -28; b = 0; c = +1008;
Δ = b2-4ac
Δ = 02-4·(-28)·1008
Δ = 112896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{112896}=336$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-336}{2*-28}=\frac{-336}{-56}
=+6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+336}{2*-28}=\frac{336}{-56}
=-6
$