I'm having a hell of a time trying to answer this one question.
sqrt(3m+7)-5=3m
I got up to
0=3(3m^2-m+6) but can't figure out how to factor any further and find the solution set. Any help would be appreciated. Thanks!
I'm having a hell of a time trying to answer this one question.
sqrt(3m+7)-5=3m
I got up to
0=3(3m^2-m+6) but can't figure out how to factor any further and find the solution set. Any help would be appreciated. Thanks!
Hi
The first thing to do to solve $\displaystyle \sqrt{3m+7} -5 = 3m$
is to find the set of possible values for m
$\displaystyle 3m+7 \geq 0$
$\displaystyle m \geq -\frac{7}{3}$
Then $\displaystyle \sqrt{3m+7} = 3m + 5$
Square both sides $\displaystyle 3m+7 = (3m + 5)^2$
Expand the right member and rearrange to get a quadratic
Solve and find the solutions that are greater than -7/3