What is the answer to sqrt(2x+3)-sqrt(x+1)=1 ?

The answer to sqrt(2x+3)-sqrt(x+1)=1 is x=3,x=-1

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sqrt(2x+3)-sqrt(x+1)=1

2 x + 3 - x + 1 = 1

x = 3, x = - 1

Solution steps

2 x + 3 - x + 1 = 1

Remove square roots

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

Solve

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

x = 3, x = - 1

Verify Solutions:

x = 3

True

, x = - 1

True

The solutions are

x = 3, x = - 1

2 x + 1 = 5

x + 2 x - 3 = 0

3 x + 1 = 2 + x + 1

2 x - 1 - x - 5 = 3

What is the answer to sqrt(2x+3)-sqrt(x+1)=1 ?
The answer to sqrt(2x+3)-sqrt(x+1)=1 is x=3,x=-1
Solve for x: sqrt(2x+3)-sqrt(x+1)=1
The solution is x=3,x=-1