SOLUTION: help me solve {{{ sqrt(6y+4)+6=y }}}

Question 538704: help me solve
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Subtract 6 from both sides.

Square both sides

Square and FOIL

Get everything to one side

Combine like terms.

Flip the equation

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "y":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the possible solutions are or

However, when doing the check (which I'll let you do), you'll find that only works.

So is the only solution.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
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