What is the answer to sqrt(x+2)-sqrt(2x+2)+1=0 ?

The answer to sqrt(x+2)-sqrt(2x+2)+1=0 is x=7

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sqrt(x+2)-sqrt(2x+2)+1=0

x + 2 - 2 x + 2 + 1 = 0

x = 7

Solution steps

x + 2 - 2 x + 2 + 1 = 0

Remove square roots

x^{2} + 2 x + 1 = 8 x + 8

Solve

x^{2} + 2 x + 1 = 8 x + 8 : x = 7, x = - 1

x = 7, x = - 1

Verify Solutions:

x = 7

True

, x = - 1

False

The solution is

x = 7

8 + 7 x = x

53 - 7 x = x - 9

1400 = 200 t

48 - 26 x = 2 x

x + 12 - x - 4 = 2

What is the answer to sqrt(x+2)-sqrt(2x+2)+1=0 ?
The answer to sqrt(x+2)-sqrt(2x+2)+1=0 is x=7
Solve for x: sqrt(x+2)-sqrt(2x+2)+1=0
The solution is x=7