What is the answer to 1+sqrt(n+4)=sqrt(3n+1) ?

The answer to 1+sqrt(n+4)=sqrt(3n+1) is n=5

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1+sqrt(n+4)=sqrt(3n+1)

1 + n + 4 = 3 n + 1

n = 5

Solution steps

1 + n + 4 = 3 n + 1

Remove square roots

4 n + 16 = 4 n^{2} - 16 n + 16

Solve

4 n + 16 = 4 n^{2} - 16 n + 16 : n = 5, n = 0

n = 5, n = 0

Verify Solutions:

n = 5

True

, n = 0

False

The solution is

n = 5

10 c + 4 - 3 = 9

\frac{48}{x} = 100 - x^{2}

x + 1 = 2 x

x + 1 = - 7

(x - 1)^{\frac{2}{3}} = 9

What is the answer to 1+sqrt(n+4)=sqrt(3n+1) ?
The answer to 1+sqrt(n+4)=sqrt(3n+1) is n=5
Solve for n: 1+sqrt(n+4)=sqrt(3n+1)
The solution is n=5