Solve the equation $z^2 + z + 2 = 0$ where $z \in \mathbb{C}$. How many roots of this equat

Question

Solve the equation $z^2 + z + 2 = 0$ where $z \in \mathbb{C}$. How many roots of this equation are there in $\mathbb{R}$? How many roots does this same equation has in $\mathbb{C}$?

Accepted Answer

$z=\frac{-1\pm i\sqrt7}{2}$. No real roots; two distinct complex roots.

Solution of quadratic equations

Solution of quadratic equations

Solution:

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