(X-5/2)^2=13/14

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Solution for (X-5/2)^2=13/14 equation:


X in (-oo:+oo)

(X-(5/2))^2 = 13/14 // - 13/14

(X-(5/2))^2-(13/14) = 0

(X-5/2)^2-13/14 = 0

(14*(X-5/2)^2)/14-13/14 = 0

14*(X-5/2)^2-13 = 0

14*X^2-70*X+149/2 = 0

14*X^2-70*X+149/2 = 0

14*X^2-70*X+149/2 = 0

DELTA = (-70)^2-(4*14*149/2)

DELTA = 728

DELTA > 0

X = (728^(1/2)+70)/(2*14) or X = (70-728^(1/2))/(2*14)

X = (2*182^(1/2)+70)/28 or X = (70-2*182^(1/2))/28

(X-((70-2*182^(1/2))/28))*(X-((2*182^(1/2)+70)/28)) = 0

((X-((70-2*182^(1/2))/28))*(X-((2*182^(1/2)+70)/28)))/14 = 0

((X-((70-2*182^(1/2))/28))*(X-((2*182^(1/2)+70)/28)))/14 = 0 // * 14

(X-((70-2*182^(1/2))/28))*(X-((2*182^(1/2)+70)/28)) = 0

( X-((2*182^(1/2)+70)/28) )

X-((2*182^(1/2)+70)/28) = 0 // + (2*182^(1/2)+70)/28

X = (2*182^(1/2)+70)/28

( X-((70-2*182^(1/2))/28) )

X-((70-2*182^(1/2))/28) = 0 // + (70-2*182^(1/2))/28

X = (70-2*182^(1/2))/28

X in { (2*182^(1/2)+70)/28, (70-2*182^(1/2))/28 }

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