Question

5x2 – 7x + m2 + 3m = 0

Answer 1

Ответ:

-3

Объяснение:

без вопросов

Answer 2

The equation you've provided is a quadratic equation in the variables x and m. To solve for x and m, you can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In your equation, a = 5, b = -7, and c = m² + 3m. Plugging these values into the quadratic formula, you get:

x = (-(-7) ± √((-7)² - 4 * 5 * (m² + 3m))) / (2 * 5)

Simplify this equation further:

x = (7 ± √(49 - 20(m² + 3m))) / 10

Now, you can solve for x in terms of m. Keep in mind that the solutions for x may be real, complex, or non-existent depending on the value inside the square root (the discriminant).

The discriminant is given by:

D = 49 - 20(m² + 3m)

To determine the nature of the solutions, you need to consider the sign of the discriminant:

1. If D > 0, you will have two distinct real solutions for x.
2. If D = 0, you will have one real solution for x (a repeated root).
3. If D < 0, you will have two complex (non-real) solutions for x.

Depending on the specific value of m, you can use the discriminant to determine the type and number of solutions for x.