What is the answer to sqrt((x+1)^2-5)=2 ?

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

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sqrt((x+1)^2-5)=2

(x + 1)^{2} - 5 = 2

x = 2, x = - 4

Solution steps

(x + 1)^{2} - 5 = 2

Square both sides:

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

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

Solve

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

x = 2, x = - 4

Verify Solutions:

x = 2

True

, x = - 4

True

The solutions are

x = 2, x = - 4

x - 2 x - 7 = 5

(1 - x^{2})^{\frac{1}{2}} = 0

2 - x = 5 x

5 x + 4 - 6 = 2

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