What is the answer to sqrt(3x+\sqrt{x+1)}=7 ?

The answer to sqrt(3x+\sqrt{x+1)}=7 is x=15

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sqrt(3x+\sqrt{x+1)}=7

3 x + x + 1 = 7

x = 15

Solution steps

3 x + x + 1 = 7

Remove square roots

x + 1 = 2401 - 294 x + 9 x^{2}

Solve

x + 1 = 2401 - 294 x + 9 x^{2} : x = \frac{160}{9}, x = 15

x = \frac{160}{9}, x = 15

Verify Solutions:

x = \frac{160}{9}

False

, x = 15

True

The solution is

x = 15

x, x - 4 + 5 = 3 x + 3

x - 3 = x - 6

x - 3 = x - 3

5 x + 29 + 6 = 2 x

x + 3 - 7 - x = 2

What is the answer to sqrt(3x+\sqrt{x+1)}=7 ?
The answer to sqrt(3x+\sqrt{x+1)}=7 is x=15
Solve for x: sqrt(3x+\sqrt{x+1)}=7
The solution is x=15