What is the answer to sqrt(2x+6)-sqrt(x+4)=1 ?

The answer to sqrt(2x+6)-sqrt(x+4)=1 is x=5

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sqrt(2x+6)-sqrt(x+4)=1

2 x + 6 - x + 4 = 1

x = 5

Solution steps

2 x + 6 - x + 4 = 1

Remove square roots

x^{2} + 2 x + 1 = 4 x + 16

Solve

x^{2} + 2 x + 1 = 4 x + 16 : x = 5, x = - 3

x = 5, x = - 3

Verify Solutions:

x = 5

True

, x = - 3

False

The solution is

x = 5

2 x + 4 x - 3 = 3

2 x + 1 = 3

x + 4 x + 1 = 5

x + 1 - 3 x = 1

y + y + 2 = 3

What is the answer to sqrt(2x+6)-sqrt(x+4)=1 ?
The answer to sqrt(2x+6)-sqrt(x+4)=1 is x=5
Solve for x: sqrt(2x+6)-sqrt(x+4)=1
The solution is x=5