X2-9x+20=(x-5)

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Solution for X2-9x+20=(x-5) equation:



X2-9X+20=(X-5)
We move all terms to the left:
X2-9X+20-((X-5))=0
We add all the numbers together, and all the variables
X^2-9X-((X-5))+20=0
We calculate terms in parentheses: -((X-5)), so:
(X-5)
We get rid of parentheses
X-5
Back to the equation:
-(X-5)
We get rid of parentheses
X^2-9X-X+5+20=0
We add all the numbers together, and all the variables
X^2-10X+25=0
a = 1; b = -10; c = +25;
Δ = b2-4ac
Δ = -102-4·1·25
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$X=\frac{-b}{2a}=\frac{10}{2}=5$

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