291=x*x+1

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Solution for 291=x*x+1 equation:


Simplifying
291 = x * x + 1

Multiply x * x
291 = x2 + 1

Reorder the terms:
291 = 1 + x2

Solving
291 = 1 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
291 + -1x2 = 1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
291 + -1x2 = 1 + 0
291 + -1x2 = 1

Add '-291' to each side of the equation.
291 + -291 + -1x2 = 1 + -291

Combine like terms: 291 + -291 = 0
0 + -1x2 = 1 + -291
-1x2 = 1 + -291

Combine like terms: 1 + -291 = -290
-1x2 = -290

Divide each side by '-1'.
x2 = 290

Simplifying
x2 = 290

Take the square root of each side:
x = {-17.029386366, 17.029386366}

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