What is the answer to sqrt(x+3)-sqrt(x-1)=1 ?

The answer to sqrt(x+3)-sqrt(x-1)=1 is x= 13/4

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sqrt(x+3)-sqrt(x-1)=1

x + 3 - x - 1 = 1

x = \frac{13}{4}

Decimal Notation

x = 3.25

Solution steps

x + 3 - x - 1 = 1

Remove square roots

9 = 4 x - 4

Solve

9 = 4 x - 4 : x = \frac{13}{4}

x = \frac{13}{4}

Verify Solutions:

x = \frac{13}{4}

True

The solution is

x = \frac{13}{4}

3 x + 2 - x = 1

x - 3 - x - 2 = 1

2 + x = x

7 x - 12 = x

(3 x + 5)^{\frac{2}{3}} = 4

What is the answer to sqrt(x+3)-sqrt(x-1)=1 ?
The answer to sqrt(x+3)-sqrt(x-1)=1 is x= 13/4
Solve for x: sqrt(x+3)-sqrt(x-1)=1
The solution is x= 13/4