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1725=2/x+x
We move all terms to the left:
1725-(2/x+x)=0
Domain of the equation: x+x)!=0We add all the numbers together, and all the variables
x∈R
-(+x+2/x)+1725=0
We get rid of parentheses
-x-2/x+1725=0
We multiply all the terms by the denominator
-x*x+1725*x-2=0
We add all the numbers together, and all the variables
1725x-x*x-2=0
Wy multiply elements
-1x^2+1725x-2=0
a = -1; b = 1725; c = -2;
Δ = b2-4ac
Δ = 17252-4·(-1)·(-2)
Δ = 2975617
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1725)-\sqrt{2975617}}{2*-1}=\frac{-1725-\sqrt{2975617}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1725)+\sqrt{2975617}}{2*-1}=\frac{-1725+\sqrt{2975617}}{-2} $
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