What is the answer to sqrt(6+\sqrt{1+2x)}=3 ?

The answer to sqrt(6+\sqrt{1+2x)}=3 is x=4

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sqrt(6+\sqrt{1+2x)}=3

6 + 1 + 2 x = 3

x = 4

Solution steps

6 + 1 + 2 x = 3

Square both sides:

6 + 1 + 2 x = 9

6 + 1 + 2 x = 9

Move

6

to the right side

1 + 2 x = 3

Square both sides:

1 + 2 x = 9

1 + 2 x = 9

Solve

1 + 2 x = 9 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

x - 1 - x = 1 x

2 m + 4 2 m - 3 + 1 = m + 7

v^{\frac{1}{4}} = 3

2 x + 10 = - x - 1

x - \frac{x}{2} = 0

What is the answer to sqrt(6+\sqrt{1+2x)}=3 ?
The answer to sqrt(6+\sqrt{1+2x)}=3 is x=4
Solve for x: sqrt(6+\sqrt{1+2x)}=3
The solution is x=4