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PLEASE HELP QUICK! Determine x value of: sqrt x + 8 - sqrt x - 4 = 2

1 Answer

4 votes

Answer:

x=8

Explanation:


√(x+8)-√(x-4)=2\\√(x+8)=2+√(x-4)\\\left(√(x+8)\right)^2=\left(2+√(x-4)\right)^2\\x+8=x+4√(x-4)\\8=4√(x-4)\\8^2=\left(4√(x-4)\right)^2\\64=16x-64\\x=8

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