An algebra problem by Zulqarnain Ansari

Algebra Level 1

What real value of x x satisfies ∣ 2 x + 1 ∣ = ∣ 4 x + 3 ∣ |2x+1| = |4x+3| ?


The answer is -1.

Zulqarnain Ansari by Zulqarnain Ansari , 58, Pakistan

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1 solution

Kay Xspre
Aug 1, 2015

There were two answers to the following question. By squaring both sides it will gives ( 2 x + 1 ) 2 = ( 4 x + 3 ) 2 (2x+1)^{2} = (4x+3)^{2} , which, when solved, will give the equation of ( x + 1 ) ( 3 x + 2 ) = 0 (x+1)(3x+2) = 0 . As such, the answer is x = − 1 , − 2 3 x= -1, \frac{-2}{3} , both of which are true

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