Question

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

Answer 1

\[2y=\sqrt{5y+6}\]?

Answer 2

yes that is the equation

Answer 3

you square both side get

Answer 4

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

Answer 5

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

Answer 6

OMG thank you so much!

Answer 7

you welcome

Answer 8

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!