What is the answer to 2sqrt(x)-sqrt(x+5)=1 ?

The answer to 2sqrt(x)-sqrt(x+5)=1 is x=4

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2sqrt(x)-sqrt(x+5)=1

2 x - x + 5 = 1

x = 4

Solution steps

2 x - x + 5 = 1

Remove square roots

9 x^{2} - 36 x + 36 = 4 x + 20

Solve

9 x^{2} - 36 x + 36 = 4 x + 20 : x = 4, x = \frac{4}{9}

x = 4, x = \frac{4}{9}

Verify Solutions:

x = 4

True

, x = \frac{4}{9}

False

The solution is

x = 4

x + x + 7 = 7

x + 6 - 4 = x

3 x + 18 = x

5 x + 1 - x - 3 = 4

x - 5 + 7 = 11

What is the answer to 2sqrt(x)-sqrt(x+5)=1 ?
The answer to 2sqrt(x)-sqrt(x+5)=1 is x=4
Solve for x: 2sqrt(x)-sqrt(x+5)=1
The solution is x=4