sqrt(x^2+4)+sqrt(x^2+1)=3-5x^2

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Solution for sqrt(x^2+4)+sqrt(x^2+1)=3-5x^2 equation:


Simplifying
sqrt(x2 + 4) + sqrt(x2 + 1) = 3 + -5x2

Reorder the terms:
qrst(4 + x2) + sqrt(x2 + 1) = 3 + -5x2
(4 * qrst + x2 * qrst) + sqrt(x2 + 1) = 3 + -5x2
(4qrst + qrstx2) + sqrt(x2 + 1) = 3 + -5x2

Reorder the terms:
4qrst + qrstx2 + qrst(1 + x2) = 3 + -5x2
4qrst + qrstx2 + (1 * qrst + x2 * qrst) = 3 + -5x2
4qrst + qrstx2 + (1qrst + qrstx2) = 3 + -5x2

Reorder the terms:
4qrst + 1qrst + qrstx2 + qrstx2 = 3 + -5x2

Combine like terms: 4qrst + 1qrst = 5qrst
5qrst + qrstx2 + qrstx2 = 3 + -5x2

Combine like terms: qrstx2 + qrstx2 = 2qrstx2
5qrst + 2qrstx2 = 3 + -5x2

Solving
5qrst + 2qrstx2 = 3 + -5x2

Solving for variable 'q'.

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

Reorder the terms:
-3 + 5qrst + 2qrstx2 + 5x2 = 3 + -5x2 + -3 + 5x2

Reorder the terms:
-3 + 5qrst + 2qrstx2 + 5x2 = 3 + -3 + -5x2 + 5x2

Combine like terms: 3 + -3 = 0
-3 + 5qrst + 2qrstx2 + 5x2 = 0 + -5x2 + 5x2
-3 + 5qrst + 2qrstx2 + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-3 + 5qrst + 2qrstx2 + 5x2 = 0

The solution to this equation could not be determined.

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