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90000*100/x=x
We move all terms to the left:
90000*100/x-(x)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
-1x+90000*100/x=0
We multiply all the terms by the denominator
-1x*x+90000*100=0
We add all the numbers together, and all the variables
-1x*x+9000000=0
Wy multiply elements
-1x^2+9000000=0
a = -1; b = 0; c = +9000000;
Δ = b2-4ac
Δ = 02-4·(-1)·9000000
Δ = 36000000
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{36000000}=6000$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6000}{2*-1}=\frac{-6000}{-2} =+3000 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6000}{2*-1}=\frac{6000}{-2} =-3000 $
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