What is the answer to sqrt(x)+sqrt(x+2)=3 ?

The answer to sqrt(x)+sqrt(x+2)=3 is x= 49/36

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sqrt(x)+sqrt(x+2)=3

x + x + 2 = 3

x = \frac{49}{36}

Decimal Notation

x = 1.36111 \dots

Solution steps

x + x + 2 = 3

Remove square roots

121 = 36 x + 72

Solve

121 = 36 x + 72 : x = \frac{49}{36}

x = \frac{49}{36}

Verify Solutions:

x = \frac{49}{36}

True

The solution is

x = \frac{49}{36}

x + 2 - 4 x + 13 = 0

(x - 3)^{\frac{3}{2}} = 8

3 x - 5 - 3 x = 0

2 x + 15 - x = 6

2 x - 1 + x + 3 = 3

What is the answer to sqrt(x)+sqrt(x+2)=3 ?
The answer to sqrt(x)+sqrt(x+2)=3 is x= 49/36
Solve for x: sqrt(x)+sqrt(x+2)=3
The solution is x= 49/36