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

The answer to sqrt(2x+4)=x+1 is x=sqrt(3)

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sqrt(2x+4)=x+1

2 x + 4 = x + 1

x = 3

Decimal Notation

x = 1.73205 \dots

Solution steps

2 x + 4 = x + 1

Square both sides:

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

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

Solve

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

x = 3, x = - 3

Verify Solutions:

x = 3

True

, x = - 3

False

The solution is

x = 3

3 x - 4 = 2 x^{2} - 3 x + 2

- 3 + 15 x + 10 = 7

x + x + 11 = 11

8 x + 4 + 10 = 16

7 + 2 (4 x^{2.6} - 3) = 33

What is the answer to sqrt(2x+4)=x+1 ?
The answer to sqrt(2x+4)=x+1 is x=sqrt(3)
Solve for x: sqrt(2x+4)=x+1
The solution is x=sqrt(3)