What is the answer to sqrt(2x-14)=sqrt(x)+1 ?

The answer to sqrt(2x-14)=sqrt(x)+1 is x=25

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sqrt(2x-14)=sqrt(x)+1

2 x - 14 = x + 1

x = 25

Solution steps

2 x - 14 = x + 1

Remove square roots

x^{2} - 30 x + 225 = 4 x

Solve

x^{2} - 30 x + 225 = 4 x : x = 25, x = 9

x = 25, x = 9

Verify Solutions:

x = 25

True

, x = 9

False

The solution is

x = 25

x + 2 - x - 1 = 1

2 x + 1 + 3 = 0

4 - x^{2} = - x

k + 2 - 9 = 0

5 x + 1 + 9 = 3

What is the answer to sqrt(2x-14)=sqrt(x)+1 ?
The answer to sqrt(2x-14)=sqrt(x)+1 is x=25
Solve for x: sqrt(2x-14)=sqrt(x)+1
The solution is x=25