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13=(5/2)(5x-4)
We move all terms to the left:
13-((5/2)(5x-4))=0
Domain of the equation: 2)(5x-4))!=0We add all the numbers together, and all the variables
x∈R
-((+5/2)(5x-4))+13=0
We multiply parentheses ..
-((+25x^2+5/2*-4))+13=0
We multiply all the terms by the denominator
-((+25x^2+5+13*2*-4))=0
We calculate terms in parentheses: -((+25x^2+5+13*2*-4)), so:a = -25; b = 0; c = 0;
(+25x^2+5+13*2*-4)
We get rid of parentheses
25x^2+5-4+13*2*
We add all the numbers together, and all the variables
25x^2
Back to the equation:
-(25x^2)
Δ = b2-4ac
Δ = 02-4·(-25)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{0}{-50}=0$
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