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y-6/y=1
We move all terms to the left:
y-6/y-(1)=0
Domain of the equation: y!=0We multiply all the terms by the denominator
y∈R
y*y-1*y-6=0
We add all the numbers together, and all the variables
-1y+y*y-6=0
Wy multiply elements
y^2-1y-6=0
a = 1; b = -1; c = -6;
Δ = b2-4ac
Δ = -12-4·1·(-6)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:y_{1}=\frac{-b-\sqrt{\Delta}}{2a}y_{2}=\frac{-b+\sqrt{\Delta}}{2a}\sqrt{\Delta}=\sqrt{25}=5y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-5}{2*1}=\frac{-4}{2} =-2y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+5}{2*1}=\frac{6}{2} =3
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