How do you solve $\sqrt{2 m - 6} = \sqrt{3 m - 14}$ $sqrt(2m-6)=sqrt(3m-14)$ ?

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Answer 1 · 2016-08-18T20:41:19

$m = 8$ $m=8$ .

$\sqrt{2 m - 6} = \sqrt{3 m - 14}$ $sqrt(2m-6)=sqrt(3m-14)$

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

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

$:. -m=-8$

$:. m=8$

This satisfy the given eqn.

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

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