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-(11/5)x=-132/3
We move all terms to the left:
-(11/5)x-(-132/3)=0
Domain of the equation: 5)x!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-(+11/5)x-(-44)=0
We add all the numbers together, and all the variables
-(+11/5)x+44=0
We multiply parentheses
-11x^2+44=0
a = -11; b = 0; c = +44;
Δ = b2-4ac
Δ = 02-4·(-11)·44
Δ = 1936
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{1936}=44$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44}{2*-11}=\frac{-44}{-22} =+2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44}{2*-11}=\frac{44}{-22} =-2 $
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