How many solutions does
the equation
2x-3-m=m
​

1 thought on “How many solutions does<br />the equation<br />2x-3-m=m<br />​”

1. We have to find the number of solutions of the equation ||2x – 3| – m| = m where m > 0.

   solution : here m > 0 , it means ||2x – 3| – m| is positive term.

   so, |2x – 3| – m = m

   ⇒|2x – 3| = 2m

   ⇒2x – 3 = ± 2m

   ⇒2x = 3 ± 2m

   ⇒x = (3 ± 2m)/2

   also |2x – 3| = 0 ⇒2x = 3 ⇒x = 3/2

   Therefore x = (3 + 2m)/2, (3 – 2m)/2 and 3/2 are the solutions of equation.

   so there are three solutions of the given equation.

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