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x-x-1-x-x-2-x-1-find-x-




Question Number 144860 by mathdanisur last updated on 29/Jun/21
∣(x/(x-1))∣ + ∣x∣ = (x^2 /(∣x-1∣))   find  x=?
xx1+x=x2x1findx=?
Commented by hknkrc46 last updated on 29/Jun/21
★ ∣x∣ = ((x^2  − ∣x∣)/(∣x − 1∣))  ★ ∣x^2  − x∣ = x^2  − ∣x∣     (a) x ∈ [0,1) ⇒ x − x^2  = x^2  − x             ⇒ x = 0     (b) x ∈ R^−  ⇒ x^2  − x = x^2  + x            ⇒ x = 0 ∉ R^−      (c) x ∈ (1 , ∞) ⇒ x^2  − x = x^2  − x           ⇒ 0 = 0   ♣  x ∈ (1 , ∞) ∪ {0}
x=x2xx1x2x=x2x(a)x[0,1)xx2=x2xx=0(b)xRx2x=x2+xx=0R(c)x(1,)x2x=x2x0=0x(1,){0}
Commented by mathdanisur last updated on 30/Jun/21
alot cool Sir thanks
alotcoolSirthanks

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