X2-3x+2.5=(x-3)2+0.5(x-18)

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Solution for X2-3x+2.5=(x-3)2+0.5(x-18) equation:



X2-3X+2.5=(X-3)2+0.5(X-18)
We move all terms to the left:
X2-3X+2.5-((X-3)2+0.5(X-18))=0
We add all the numbers together, and all the variables
X^2-3X-((X-3)2+0.5(X-18))+2.5=0
We calculate terms in parentheses: -((X-3)2+0.5(X-18)), so:
(X-3)2+0.5(X-18)
We multiply parentheses
2X+0.5X-6-9
We add all the numbers together, and all the variables
2.5X-15
Back to the equation:
-(2.5X-15)
We get rid of parentheses
X^2-3X-2.5X+15+2.5=0
We add all the numbers together, and all the variables
X^2-5.5X+17.5=0
a = 1; b = -5.5; c = +17.5;
Δ = b2-4ac
Δ = -5.52-4·1·17.5
Δ = -39.75
Delta is less than zero, so there is no solution for the equation

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