What is the answer to 5=sqrt(5+2n)+sqrt(2+n) ?

The answer to 5=sqrt(5+2n)+sqrt(2+n) is n=2

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5=sqrt(5+2n)+sqrt(2+n)

5 = 5 + 2 n + 2 + n

n = 2

Solution steps

5 = 5 + 2 n + 2 + n

Remove square roots

200 + 100 n = n^{2} - 44 n + 484

Solve

200 + 100 n = n^{2} - 44 n + 484 : n = 142, n = 2

n = 142, n = 2

Verify Solutions:

n = 142

False

, n = 2

True

The solution is

n = 2

x = - x + 2

b - 5 = 4

u - 4 = 7

x^{2} + 121 = x + 11

What is the answer to 5=sqrt(5+2n)+sqrt(2+n) ?
The answer to 5=sqrt(5+2n)+sqrt(2+n) is n=2
Solve for n: 5=sqrt(5+2n)+sqrt(2+n)
The solution is n=2