(1-x^2)/x^2=0

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Solution for (1-x^2)/x^2=0 equation:



(1-x^2)/x^2=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
(1-x^2)=0
We get rid of parentheses
-x^2+1=0
We add all the numbers together, and all the variables
-1x^2+1=0
a = -1; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-1)·1
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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

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