x^2-x+Sqrt(x^2-x+9)=3

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Solution for x^2-x+Sqrt(x^2-x+9)=3 equation:


Simplifying
x2 + -1x + Sqrt(x2 + -1x + 9) = 3

Reorder the terms:
x2 + -1x + qrtS(9 + -1x + x2) = 3
x2 + -1x + (9 * qrtS + -1x * qrtS + x2 * qrtS) = 3
x2 + -1x + (9qrtS + -1qrtxS + qrtx2S) = 3

Reorder the terms:
9qrtS + -1qrtxS + qrtx2S + -1x + x2 = 3

Solving
9qrtS + -1qrtxS + qrtx2S + -1x + x2 = 3

Solving for variable 'q'.

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

Add 'x' to each side of the equation.
9qrtS + -1qrtxS + qrtx2S + -1x + x + x2 = 3 + x

Combine like terms: -1x + x = 0
9qrtS + -1qrtxS + qrtx2S + 0 + x2 = 3 + x
9qrtS + -1qrtxS + qrtx2S + x2 = 3 + x

Add '-1x2' to each side of the equation.
9qrtS + -1qrtxS + qrtx2S + x2 + -1x2 = 3 + x + -1x2

Combine like terms: x2 + -1x2 = 0
9qrtS + -1qrtxS + qrtx2S + 0 = 3 + x + -1x2
9qrtS + -1qrtxS + qrtx2S = 3 + x + -1x2

Reorder the terms:
-3 + 9qrtS + -1qrtxS + qrtx2S + -1x + x2 = 3 + x + -1x2 + -3 + -1x + x2

Reorder the terms:
-3 + 9qrtS + -1qrtxS + qrtx2S + -1x + x2 = 3 + -3 + x + -1x + -1x2 + x2

Combine like terms: 3 + -3 = 0
-3 + 9qrtS + -1qrtxS + qrtx2S + -1x + x2 = 0 + x + -1x + -1x2 + x2
-3 + 9qrtS + -1qrtxS + qrtx2S + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
-3 + 9qrtS + -1qrtxS + qrtx2S + -1x + x2 = 0 + -1x2 + x2
-3 + 9qrtS + -1qrtxS + qrtx2S + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-3 + 9qrtS + -1qrtxS + qrtx2S + -1x + x2 = 0

The solution to this equation could not be determined.

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