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

The answer to sqrt(x+1)-sqrt(x-1)=1 is x= 5/4

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

x + 1 - x - 1 = 1

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

x + 1 - x - 1 = 1

Remove square roots

1 = 4 x - 4

Solve

1 = 4 x - 4 : x = \frac{5}{4}

x = \frac{5}{4}

Verify Solutions:

x = \frac{5}{4}

True

The solution is

x = \frac{5}{4}

x + 7 = x + 1

x - 5 = x + 4

x + x - 24 = 4

x^{\frac{4}{3}} = 625

x 8 - x^{2} = 0

What is the answer to sqrt(x+1)-sqrt(x-1)=1 ?
The answer to sqrt(x+1)-sqrt(x-1)=1 is x= 5/4
Solve for x: sqrt(x+1)-sqrt(x-1)=1
The solution is x= 5/4