SOLUTION: Hi, this is the problem I was told to do:
[SQRT(2x + 2)] - [SQRT(x - 3)] = 2
or
√(2x+2) - √(x-3) = 2
I've been told to FOIL this problem, but I don't understand
Algebra.Com
Question 163137: Hi, this is the problem I was told to do:
[SQRT(2x + 2)] - [SQRT(x - 3)] = 2
or
√(2x+2) - √(x-3) = 2
I've been told to FOIL this problem, but I don't understand how to FOIL it if its subtracting and not multiplying. What I do know is that the answer is equal to 7.
Thanks in advance.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let and
So the equation then becomes
Start with the given equation
Add "B" to both sides
Square both sides. Remember, squaring undoes the square root (which is in both A and B)
FOIL the right side
Plug in and
Square to get . Square to get .
Combine like terms.
Subtract 1 from both sides. Subtract x from both sides.
Combine like terms.
Square both sides. This will eliminate the square root.
FOIL the left side
Distribute
Get all terms to the left side
Combine like terms
Factor the left side
Take the square root of both sides (to get rid of the square)
Add 7 to both sides.
So the solution is
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