How do you solve #sqrt(2m-6)=sqrt(3m-14)#?

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Answer 1 · 2016-08-18T20:41:19

#m=8#.

#sqrt(2m-6)=sqrt(3m-14)#

Squaring, #2m-6=3m-14#

#:. 2m-3m=6-14#

#:. -m=-8#

#:. m=8#

This satisfy the given eqn.

Hence, the soln.# :m=8#.