Sqrt[x+1]+Sqrt[x+5]+Sqrt[13+x]=9

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Solution for Sqrt[x+1]+Sqrt[x+5]+Sqrt[13+x]=9 equation:


Simplifying
Sqrt[x + 1] + Sqrt[x + 5] + Sqrt[13 + x] = 9

Reorder the terms:
qrtS[1 + x] + Sqrt[x + 5] + Sqrt[13 + x] = 9
[1 * qrtS + x * qrtS] + Sqrt[x + 5] + Sqrt[13 + x] = 9
[1qrtS + qrtxS] + Sqrt[x + 5] + Sqrt[13 + x] = 9

Reorder the terms:
1qrtS + qrtxS + qrtS[5 + x] + Sqrt[13 + x] = 9
1qrtS + qrtxS + [5 * qrtS + x * qrtS] + Sqrt[13 + x] = 9
1qrtS + qrtxS + [5qrtS + qrtxS] + Sqrt[13 + x] = 9
1qrtS + qrtxS + 5qrtS + qrtxS + [13 * qrtS + x * qrtS] = 9
1qrtS + qrtxS + 5qrtS + qrtxS + [13qrtS + qrtxS] = 9

Reorder the terms:
1qrtS + 5qrtS + 13qrtS + qrtxS + qrtxS + qrtxS = 9

Combine like terms: 1qrtS + 5qrtS = 6qrtS
6qrtS + 13qrtS + qrtxS + qrtxS + qrtxS = 9

Combine like terms: 6qrtS + 13qrtS = 19qrtS
19qrtS + qrtxS + qrtxS + qrtxS = 9

Combine like terms: qrtxS + qrtxS = 2qrtxS
19qrtS + 2qrtxS + qrtxS = 9

Combine like terms: 2qrtxS + qrtxS = 3qrtxS
19qrtS + 3qrtxS = 9

Solving
19qrtS + 3qrtxS = 9

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Reorder the terms:
-9 + 19qrtS + 3qrtxS = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 19qrtS + 3qrtxS = 0

The solution to this equation could not be determined.

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