What is the answer to sqrt(x)+sqrt(x+15)=15 ?

The answer to sqrt(x)+sqrt(x+15)=15 is x=49

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sqrt(x)+sqrt(x+15)=15

x + x + 15 = 15

x = 49

Solution steps

x + x + 15 = 15

Remove square roots

57600 = 900 x + 13500

Solve

57600 = 900 x + 13500 : x = 49

x = 49

Verify Solutions:

x = 49

True

The solution is

x = 49

x + 2 x^{2} - 1 = 2

2 x + 6 = 1 - x

2 + 3 x - 6 = 6

x^{2} + 24 x + x^{2} + 24 x = 30

\frac{x}{2} = 1

What is the answer to sqrt(x)+sqrt(x+15)=15 ?
The answer to sqrt(x)+sqrt(x+15)=15 is x=49
Solve for x: sqrt(x)+sqrt(x+15)=15
The solution is x=49