(X^2-4)+1=10

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Solution for (X^2-4)+1=10 equation:


Simplifying
(X2 + -4) + 1 = 10

Reorder the terms:
(-4 + X2) + 1 = 10

Remove parenthesis around (-4 + X2)
-4 + X2 + 1 = 10

Reorder the terms:
-4 + 1 + X2 = 10

Combine like terms: -4 + 1 = -3
-3 + X2 = 10

Solving
-3 + X2 = 10

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + 3 + X2 = 10 + 3

Combine like terms: -3 + 3 = 0
0 + X2 = 10 + 3
X2 = 10 + 3

Combine like terms: 10 + 3 = 13
X2 = 13

Simplifying
X2 = 13

Take the square root of each side:
X = {-3.605551275, 3.605551275}

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