Sqrt(8-p)-sqrt(p-5)=1

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Solution for Sqrt(8-p)-sqrt(p-5)=1 equation: 


Simplifying
Sqrt(8 + -1p) + -1sqrt(p + -5) = 1
(8 * qrtS + -1p * qrtS) + -1sqrt(p + -5) = 1

Reorder the terms:
(-1pqrtS + 8qrtS) + -1sqrt(p + -5) = 1
(-1pqrtS + 8qrtS) + -1sqrt(p + -5) = 1

Reorder the terms:
-1pqrtS + 8qrtS + -1qrst(-5 + p) = 1
-1pqrtS + 8qrtS + (-5 * -1qrst + p * -1qrst) = 1

Reorder the terms:
-1pqrtS + 8qrtS + (-1pqrst + 5qrst) = 1
-1pqrtS + 8qrtS + (-1pqrst + 5qrst) = 1

Reorder the terms:
-1pqrst + -1pqrtS + 5qrst + 8qrtS = 1

Solving
-1pqrst + -1pqrtS + 5qrst + 8qrtS = 1

Solving for variable 'p'.

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

Add '-5qrst' to each side of the equation.
-1pqrst + -1pqrtS + 5qrst + -5qrst + 8qrtS = 1 + -5qrst

Combine like terms: 5qrst + -5qrst = 0
-1pqrst + -1pqrtS + 0 + 8qrtS = 1 + -5qrst
-1pqrst + -1pqrtS + 8qrtS = 1 + -5qrst

Add '-8qrtS' to each side of the equation.
-1pqrst + -1pqrtS + 8qrtS + -8qrtS = 1 + -5qrst + -8qrtS

Combine like terms: 8qrtS + -8qrtS = 0
-1pqrst + -1pqrtS + 0 = 1 + -5qrst + -8qrtS
-1pqrst + -1pqrtS = 1 + -5qrst + -8qrtS

Reorder the terms:
-1 + -1pqrst + -1pqrtS + 5qrst + 8qrtS = 1 + -5qrst + -8qrtS + -1 + 5qrst + 8qrtS

Reorder the terms:
-1 + -1pqrst + -1pqrtS + 5qrst + 8qrtS = 1 + -1 + -5qrst + 5qrst + -8qrtS + 8qrtS

Combine like terms: 1 + -1 = 0
-1 + -1pqrst + -1pqrtS + 5qrst + 8qrtS = 0 + -5qrst + 5qrst + -8qrtS + 8qrtS
-1 + -1pqrst + -1pqrtS + 5qrst + 8qrtS = -5qrst + 5qrst + -8qrtS + 8qrtS

Combine like terms: -5qrst + 5qrst = 0
-1 + -1pqrst + -1pqrtS + 5qrst + 8qrtS = 0 + -8qrtS + 8qrtS
-1 + -1pqrst + -1pqrtS + 5qrst + 8qrtS = -8qrtS + 8qrtS

Combine like terms: -8qrtS + 8qrtS = 0
-1 + -1pqrst + -1pqrtS + 5qrst + 8qrtS = 0

The solution to this equation could not be determined.

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