Question

how many solution does the equation [2x-3]-m=m if m>0

Answer 1

Answer:

We have to find the number of solutions of the equation ||2x - 31 - ml = m where m > 0.

solution: here m > 0, it means ||2x - 31 - ml is positive term.

so, 12x - 31 - m = m

12x - 31 = 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.

Answer 2

Answer:

So solving the equation we have, Now solving both the equation we have the value x as, Hence, the equation |2x-3|-m=m will have 2 solutions with the above value.