90/x^2=40

Solution for 90/x^2=40 equation:

90/x^2=40

We move all terms to the left:

90/x^2-(40)=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


-40*x^2+90=0

We add all the numbers together, and all the variables

-40x^2+90=0

a = -40; b = 0; c = +90;
Δ = b2-4ac
Δ = 02-4·(-40)·90
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*-40}=\frac{-120}{-80}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*-40}=\frac{120}{-80}
=-1+1/2
$