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x^2-3x+2.5=(x-3)+0.5(x-18)
We move all terms to the left:
x^2-3x+2.5-((x-3)+0.5(x-18))=0
We calculate terms in parentheses: -((x-3)+0.5(x-18)), so:We get rid of parentheses
(x-3)+0.5(x-18)
We multiply parentheses
(x-3)+0.5x-9
We get rid of parentheses
x+0.5x-3-9
We add all the numbers together, and all the variables
1.5x-12
Back to the equation:
-(1.5x-12)
x^2-3x-1.5x+12+2.5=0
We add all the numbers together, and all the variables
x^2-4.5x+14.5=0
a = 1; b = -4.5; c = +14.5;
Δ = b2-4ac
Δ = -4.52-4·1·14.5
Δ = -37.75
Delta is less than zero, so there is no solution for the equation
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