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15/x2=15
We move all terms to the left:
15/x2-(15)=0
Domain of the equation: x2!=0We multiply all the terms by the denominator
x^2!=0/
x^2!=√0
x!=0
x∈R
-15*x2+15=0
We add all the numbers together, and all the variables
-15x^2+15=0
a = -15; b = 0; c = +15;
Δ = b2-4ac
Δ = 02-4·(-15)·15
Δ = 900
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{900}=30$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*-15}=\frac{-30}{-30} =1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*-15}=\frac{30}{-30} =-1 $
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