What is the answer to sqrt(6+\sqrt{x+31)}=4 ?

The answer to sqrt(6+\sqrt{x+31)}=4 is x=69

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sqrt(6+\sqrt{x+31)}=4

6 + x + 31 = 4

x = 69

Solution steps

6 + x + 31 = 4

Square both sides:

6 + x + 31 = 16

6 + x + 31 = 16

Move

6

to the right side

x + 31 = 10

Square both sides:

x + 31 = 100

x + 31 = 100

Solve

x + 31 = 100 : x = 69

x = 69

Verify Solutions:

x = 69

True

The solution is

x = 69

4 = m - 8

x + 1 = 2 x

x + 1 = 13

2 x + 1 = 7

What is the answer to sqrt(6+\sqrt{x+31)}=4 ?
The answer to sqrt(6+\sqrt{x+31)}=4 is x=69
Solve for x: sqrt(6+\sqrt{x+31)}=4
The solution is x=69