What is the answer to sqrt(5x-20)-sqrt(x)+1=3 ?

The answer to sqrt(5x-20)-sqrt(x)+1=3 is x=9

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sqrt(5x-20)-sqrt(x)+1=3

5 x - 20 - x + 1 = 3

x = 9

Solution steps

5 x - 20 - x + 1 = 3

Remove square roots

16 x^{2} - 192 x + 576 = 16 x

Solve

16 x^{2} - 192 x + 576 = 16 x : x = 9, x = 4

x = 9, x = 4

Verify Solutions:

x = 9

True

, x = 4

False

The solution is

x = 9

x - 1 = 3 x - 1

x^{2} = 3

x + 21 - x - 6 = 3

x^{2} = 9

2 - x = 2 - x

What is the answer to sqrt(5x-20)-sqrt(x)+1=3 ?
The answer to sqrt(5x-20)-sqrt(x)+1=3 is x=9
Solve for x: sqrt(5x-20)-sqrt(x)+1=3
The solution is x=9