Question

How do you solve the equation by graphing `x^2 + 5x + 8 = 0`?

Answer 1

No real roots.

Explanation:

Graph the equation y = x^2 + 5x + 8
graph{x^2 + 5x + 8 [-10, 10, -5, 5]}
The graph is completely above the x-axis. There are no real roots (no x-intercepts).
D = b^2 - 4ac = 25 - 32 = -7 < 0.