What is the answer to sqrt(n)+sqrt(n-20)=10 ?

The answer to sqrt(n)+sqrt(n-20)=10 is n=36

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sqrt(n)+sqrt(n-20)=10

n + n - 20 = 10

n = 36

Solution steps

n + n - 20 = 10

Remove square roots

6400 = 400 n - 8000

Solve

6400 = 400 n - 8000 : n = 36

n = 36

Verify Solutions:

n = 36

True

The solution is

n = 36

x^{2} + 2 x - 9 = 6 + 4 x + 2 x^{2}

2 x^{2} + 6 x + 1 = 5

2 x - x^{2} = 1

x^{2} + 5 x = 0

x + x + 24 = 12

What is the answer to sqrt(n)+sqrt(n-20)=10 ?
The answer to sqrt(n)+sqrt(n-20)=10 is n=36
Solve for n: sqrt(n)+sqrt(n-20)=10
The solution is n=36