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/(X-)=X-3020151
We move all terms to the left:
/(X-)-(X-3020151)=0
Domain of the equation: (X-)!=0We add all the numbers together, and all the variables
X∈R
/(+X)-(X-3020151)=0
We get rid of parentheses
/(+X)-X+3020151=0
We multiply all the terms by the denominator
-X*(+X)+3020151*(+X)+=0
We add all the numbers together, and all the variables
-X*(+X)+3020151*(+X)=0
We multiply parentheses
-X^2+3020151X=0
We add all the numbers together, and all the variables
-1X^2+3020151X=0
a = -1; b = 3020151; c = 0;
Δ = b2-4ac
Δ = 30201512-4·(-1)·0
Δ = 9121312062801
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{9121312062801}=3020151$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3020151)-3020151}{2*-1}=\frac{-6040302}{-2} =+3020151 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3020151)+3020151}{2*-1}=\frac{0}{-2} =0 $
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