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

The answer to sqrt(x)+sqrt(x+1)=2 is x= 9/16

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

x + x + 1 = 2

x = \frac{9}{16}

Decimal Notation

x = 0.5625

Solution steps

x + x + 1 = 2

Remove square roots

25 = 16 x + 16

Solve

25 = 16 x + 16 : x = \frac{9}{16}

x = \frac{9}{16}

Verify Solutions:

x = \frac{9}{16}

True

The solution is

x = \frac{9}{16}

x - 4 = 17 x + 16

2 = \frac{1}{x}

x + 2 11 - x = 3

7 x = 6 x + 2

What is the answer to sqrt(x)+sqrt(x+1)=2 ?
The answer to sqrt(x)+sqrt(x+1)=2 is x= 9/16
Solve for x: sqrt(x)+sqrt(x+1)=2
The solution is x= 9/16