What would be the root of (x^2 + 2)?

The roots of the equation are and  

Step-by-step explanation:

The roots of a quadratic equation y = ax² + bx + c are the values of x at y = 0

∵ y = x² + 2

- To find the roots of it equate y by 0

∴ 0 = x² + 2

- Switch the two sides

∴ x² + 2 = 0

- Subtract 2 from both sides

∴ x² = -2

- Take √  for both sides

∴ x = ±

- There is no square root for negative numbers

∴ There is no real roots for this equation but there are imaginary roots

∵

∴

- Substitute by

∴  

∴  

∴ The roots of the equation are and  

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step-by-step explanation: