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45=(1/3)(3k-12)
We move all terms to the left:
45-((1/3)(3k-12))=0
Domain of the equation: 3)(3k-12))!=0We add all the numbers together, and all the variables
k∈R
-((+1/3)(3k-12))+45=0
We multiply parentheses ..
-((+3k^2+1/3*-12))+45=0
We multiply all the terms by the denominator
-((+3k^2+1+45*3*-12))=0
We calculate terms in parentheses: -((+3k^2+1+45*3*-12)), so:a = -3; b = 0; c = 0;
(+3k^2+1+45*3*-12)
We get rid of parentheses
3k^2+1-12+45*3*
We add all the numbers together, and all the variables
3k^2
Back to the equation:
-(3k^2)
Δ = b2-4ac
Δ = 02-4·(-3)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$k=\frac{-b}{2a}=\frac{0}{-6}=0$
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