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1250=x(100-2x)
We move all terms to the left:
1250-(x(100-2x))=0
We add all the numbers together, and all the variables
-(x(-2x+100))+1250=0
We calculate terms in parentheses: -(x(-2x+100)), so:We get rid of parentheses
x(-2x+100)
We multiply parentheses
-2x^2+100x
Back to the equation:
-(-2x^2+100x)
2x^2-100x+1250=0
a = 2; b = -100; c = +1250;
Δ = b2-4ac
Δ = -1002-4·2·1250
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{100}{4}=25$
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