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2.84*28/y=28y
We move all terms to the left:
2.84*28/y-(28y)=0
Domain of the equation: y!=0We add all the numbers together, and all the variables
y∈R
-28y+2.84*28/y=0
We multiply all the terms by the denominator
-28y*y+2.84*28=0
We add all the numbers together, and all the variables
-28y*y+79.52=0
Wy multiply elements
-28y^2+79.52=0
a = -28; b = 0; c = +79.52;
Δ = b2-4ac
Δ = 02-4·(-28)·79.52
Δ = 8906.24
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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{8906.24}}{2*-28}=\frac{0-\sqrt{8906.24}}{-56} =-\frac{\sqrt{}}{-56} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{8906.24}}{2*-28}=\frac{0+\sqrt{8906.24}}{-56} =\frac{\sqrt{}}{-56} $
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