sqrt(4x-1)+sqrt(4x^2-1)=1

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Solution for sqrt(4x-1)+sqrt(4x^2-1)=1 equation:


Simplifying
sqrt(4x + -1) + sqrt(4x2 + -1) = 1

Reorder the terms:
qrst(-1 + 4x) + sqrt(4x2 + -1) = 1
(-1 * qrst + 4x * qrst) + sqrt(4x2 + -1) = 1
(-1qrst + 4qrstx) + sqrt(4x2 + -1) = 1

Reorder the terms:
-1qrst + 4qrstx + qrst(-1 + 4x2) = 1
-1qrst + 4qrstx + (-1 * qrst + 4x2 * qrst) = 1
-1qrst + 4qrstx + (-1qrst + 4qrstx2) = 1

Reorder the terms:
-1qrst + -1qrst + 4qrstx + 4qrstx2 = 1

Combine like terms: -1qrst + -1qrst = -2qrst
-2qrst + 4qrstx + 4qrstx2 = 1

Solving
-2qrst + 4qrstx + 4qrstx2 = 1

Solving for variable 'q'.

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

Reorder the terms:
-1 + -2qrst + 4qrstx + 4qrstx2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -2qrst + 4qrstx + 4qrstx2 = 0

The solution to this equation could not be determined.

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