What is the answer to sqrt(x+8)-sqrt(x+2)=1 ?

The answer to sqrt(x+8)-sqrt(x+2)=1 is x= 17/4

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sqrt(x+8)-sqrt(x+2)=1

x + 8 - x + 2 = 1

x = \frac{17}{4}

Solution steps

x + 8 - x + 2 = 1

Remove square roots

25 = 4 x + 8

Solve

25 = 4 x + 8 : x = \frac{17}{4}

x = \frac{17}{4}

Verify Solutions:

x = \frac{17}{4}

True

The solution is

x = \frac{17}{4}

x + 8 = 2 x + 5

100 q = 2 q + 1200

6 + 3 x = 2 x + 12 + 2 x

2 p + 3 = 5 p - 3

What is the answer to sqrt(x+8)-sqrt(x+2)=1 ?
The answer to sqrt(x+8)-sqrt(x+2)=1 is x= 17/4
Solve for x: sqrt(x+8)-sqrt(x+2)=1
The solution is x= 17/4