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X=81/X
We move all terms to the left:
X-(81/X)=0
Domain of the equation: X)!=0We add all the numbers together, and all the variables
X!=0/1
X!=0
X∈R
X-(+81/X)=0
We get rid of parentheses
X-81/X=0
We multiply all the terms by the denominator
X*X-81=0
Wy multiply elements
X^2-81=0
a = 1; b = 0; c = -81;
Δ = b2-4ac
Δ = 02-4·1·(-81)
Δ = 324
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{324}=18$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18}{2*1}=\frac{-18}{2} =-9 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18}{2*1}=\frac{18}{2} =9 $
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