Question

For what values of x is the equation below true?

x² + 4x +5 = 0
A x = 4,0
B. x = -1,-3
C. x = -2 + 21,
D. x = -21

Answer 1

The equation x² + 4x +5 = 0 is a quadratic equation. Using the quadratic formula, we find that there are no real solutions to the equation.

Step-by-step explanation:

The equation x² + 4x +5 = 0 is a quadratic equation. To find the values of x that make the equation true, we can use the quadratic formula. The quadratic formula is x = (-b ± sqrt(b^2 - 4ac)) / (2a). Plugging in the values from the equation, we get x = (-4 ± sqrt(4^2 - 4 * 1 * 5)) / (2 * 1). Simplifying further, x = (-4 ± sqrt(16 - 20)) / 2, which becomes x = (-4 ± sqrt(-4)) / 2. Since taking the square root of a negative number results in complex numbers, there are no real solutions to the equation. Therefore, the correct answer is none of the given options.