SOLUTION: Solve square root of 2y+7 +4=y

Question 118090: Solve
square root of 2y+7 +4=y
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Subtract 4 from both sides.

Square both sides

Foil the right side

Subtract 2y and 7 from both sides

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for y in each case

So our possible answers are:
or

Check:
Let's check the possible solution
Start with the given equation

Plug in

Multiply

Add

Take the square root of 25 to get 5

Add. Since the two sides of the equation are equal, this verifies our answer.

----------------------

Let's check the possible solution
Start with the given equation

Plug in

Multiply

Add

Take the square root of 25 to get 5

Add. Since the two sides of the equation are not equal, this means that is not a valid solution.

-------------------------------

So the only solution is

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