1/(x^2)=1225

Solution for 1/(x^2)=1225 equation:

1/(x^2)=1225

We move all terms to the left:

1/(x^2)-(1225)=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


-1225*x^2+1=0

We add all the numbers together, and all the variables

-1225x^2+1=0

a = -1225; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-1225)·1
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70}{2*-1225}=\frac{-70}{-2450}
=1/35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70}{2*-1225}=\frac{70}{-2450}
=-1/35
$