## anonymous 5 years ago 2y=sqrt(5y+6).... I'm pretty sure the answer is 2 but can anyone show me the steps?

1. anonymous

$2y=\sqrt{5y+6}$?

2. anonymous

yes that is the equation

3. anonymous

you square both side get

4. anonymous

$4y^{2}=5y+6$ move all in one side you get $4y^{2}-5y-6=0$

5. anonymous

now you factor; (4y+3)(y-2)=0 y=2 y=-3/4 you plug two answer and check , I think you know number 2 is solution

6. anonymous

OMG thank you so much!

7. anonymous

you welcome

8. anonymous

You are the best! really! my dad couldn't figure it out and i have 3 questions like this but now i get it! so 1000000000 times thanks... again!