sqrt(x-2)+sqrt(x)=2

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Solution for sqrt(x-2)+sqrt(x)=2 equation:


Simplifying
sqrt(x + -2) + sqrt(x) = 2

Reorder the terms:
qrst(-2 + x) + sqrt(x) = 2
(-2 * qrst + x * qrst) + sqrt(x) = 2
(-2qrst + qrstx) + sqrt(x) = 2

Multiply qrst * x
-2qrst + qrstx + qrstx = 2

Combine like terms: qrstx + qrstx = 2qrstx
-2qrst + 2qrstx = 2

Solving
-2qrst + 2qrstx = 2

Solving for variable 'q'.

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

Reorder the terms:
-2 + -2qrst + 2qrstx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -2qrst + 2qrstx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -1qrst + qrstx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -1qrst + qrstx)' equal to zero and attempt to solve: Simplifying -1 + -1qrst + qrstx = 0 Solving -1 + -1qrst + qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1qrst + 1 + qrstx = 0 + 1 Reorder the terms: -1 + 1 + -1qrst + qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1qrst + qrstx = 0 + 1 -1qrst + qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 -1qrst + qrstx = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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