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1-specify-value-absolute-x-if-b-2x-3-x-3-0-

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Question Number 109754 by joki last updated on 25/Aug/20
1.specify value absolute x if ? b.∣2x+3∣+x−3=0
1.specifyvalueabsolutexif?b.∣2x+3∣+x−3=0
Answered by Her_Majesty last updated on 25/Aug/20
∣((3x+1)/(x−2))∣=1 (1) x<−1/3 ((3x+1)/(x−2))=1 ⇔ x=−3/2 (2) −1/3≤x<2 −((3x+1)/(x−2))=1 ⇔ x=1/4 (3) 2<x no solution ⇒ x=−3/2∨x=1/4 ∣2x+3∣+x−3=0 (1) x<−3/2 −(2x+3)+x−3=0 ⇔ x=−6 (2) x≥−3/2 2x+3+x−3=0 ⇔ x=0 ⇒ x=−6∨x=0
∣3x+1x−2∣=1(1)x<−1/33x+1x−2=1⇔x=−3/2(2)−1/3⩽x<2−3x+1x−2=1⇔x=1/4(3)2<xnosolution⇒x=−3/2∨x=1/4∣2x+3∣+x−3=0(1)x<−3/2−(2x+3)+x−3=0⇔x=−6(2)x⩾−3/22x+3+x−3=0⇔x=0⇒x=−6∨x=0

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