What is the answer to sqrt(x+4)+sqrt(x)=4 ?

The answer to sqrt(x+4)+sqrt(x)=4 is x= 9/4

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sqrt(x+4)+sqrt(x)=4

x + 4 + x = 4

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

x + 4 + x = 4

Remove square roots

144 = 64 x

Solve

144 = 64 x : x = \frac{9}{4}

x = \frac{9}{4}

Verify Solutions:

x = \frac{9}{4}

True

The solution is

x = \frac{9}{4}

3 x = 15 + 3 x + 1

2 x + 7 = 11

4 x - 9 + 1 = 2 x

3 x + 43 = x + 1

4 x - 21 = 1

What is the answer to sqrt(x+4)+sqrt(x)=4 ?
The answer to sqrt(x+4)+sqrt(x)=4 is x= 9/4
Solve for x: sqrt(x+4)+sqrt(x)=4
The solution is x= 9/4