SOLUTION: square root x + 63 + 9 = x

Question 130152: square root x + 63 + 9 = x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 9 from both sides

Square both sides

Foil

Subtract x from both sides. Subtract 63 from both sides.

Combine like terms

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

Now set each factor equal to zero:
or

or Now solve for x in each case

So our possible solutions are
or

Now let's check our possible solutions

Let's check the first solution

Start with the given equation}}} Start with the given equation

Plug in .

Add

Take the square root of 81 to get 9

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

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

Let's check the first solution

Start with the given equation}}} Start with the given equation

Plug in .

Add

Take the square root of 64 to get 8

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

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

Answer:

So our only solution is

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