x^2-1=47

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Solution for x^2-1=47 equation: 


Simplifying
x2 + -1 = 47

Reorder the terms:
-1 + x2 = 47

Solving
-1 + x2 = 47

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x2 = 47 + 1

Combine like terms: -1 + 1 = 0
0 + x2 = 47 + 1
x2 = 47 + 1

Combine like terms: 47 + 1 = 48
x2 = 48

Simplifying
x2 = 48

Take the square root of each side:
x = {-6.92820323, 6.92820323}

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