SOLUTION: 12/√(5x+6)=√(2x+5) Ok I know you square each side to come up with 144/5x+6=2x+5 Then you multiply 5x+6 to each side. 144=(5x+6)(2x+5) 144=10x^2+25x+12x+30

Algebra ->  Square-cubic-other-roots -> SOLUTION: 12/√(5x+6)=√(2x+5) Ok I know you square each side to come up with 144/5x+6=2x+5 Then you multiply 5x+6 to each side. 144=(5x+6)(2x+5) 144=10x^2+25x+12x+30       Log On


   



Question 154863This question is from textbook
: 12/√(5x+6)=√(2x+5)
Ok I know you square each side to come up with 144/5x+6=2x+5
Then you multiply 5x+6 to each side.
144=(5x+6)(2x+5)
144=10x^2+25x+12x+30
move 144 to the other side of the equal which makes

0=10x^2+37x-114
0=(2x )(5x )
I can not figure out what goes along with 2x and 5x to make it equal.
Thanks
This question is from textbook

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of %282x%2Ba%29%285x%2Bb%29, look at,
10x%5E2%2B37x-114=%28x%2Ba%29%2810x%2Bb%29
Remember ab=-114 and a%2Bb=37.
Try that and post another question if you get stuck.
Also, you can always use the quadratic formula.