Z^2-3=5

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Solution for Z^2-3=5 equation: 


Simplifying
Z2 + -3 = 5

Reorder the terms:
-3 + Z2 = 5

Solving
-3 + Z2 = 5

Solving for variable 'Z'.

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

Add '3' to each side of the equation.
-3 + 3 + Z2 = 5 + 3

Combine like terms: -3 + 3 = 0
0 + Z2 = 5 + 3
Z2 = 5 + 3

Combine like terms: 5 + 3 = 8
Z2 = 8

Simplifying
Z2 = 8

Take the square root of each side:
Z = {-2.828427125, 2.828427125}

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