sqrt(x^2-7)-1=x

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Solution for sqrt(x^2-7)-1=x equation:


Simplifying
sqrt(x2 + -7) + -1 = x

Reorder the terms:
qrst(-7 + x2) + -1 = x
(-7 * qrst + x2 * qrst) + -1 = x
(-7qrst + qrstx2) + -1 = x

Reorder the terms:
-1 + -7qrst + qrstx2 = x

Solving
-1 + -7qrst + qrstx2 = x

Solving for variable 'q'.

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

Add '1' to each side of the equation.
-1 + -7qrst + 1 + qrstx2 = 1 + x

Reorder the terms:
-1 + 1 + -7qrst + qrstx2 = 1 + x

Combine like terms: -1 + 1 = 0
0 + -7qrst + qrstx2 = 1 + x
-7qrst + qrstx2 = 1 + x

Reorder the terms:
-1 + -7qrst + qrstx2 + -1x = 1 + x + -1 + -1x

Reorder the terms:
-1 + -7qrst + qrstx2 + -1x = 1 + -1 + x + -1x

Combine like terms: 1 + -1 = 0
-1 + -7qrst + qrstx2 + -1x = 0 + x + -1x
-1 + -7qrst + qrstx2 + -1x = x + -1x

Combine like terms: x + -1x = 0
-1 + -7qrst + qrstx2 + -1x = 0

The solution to this equation could not be determined.

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