Question

Знайдіть добуток коренів квадратного рівняння x² - 4x - 5 =0, будь ласка даю 20 балів​

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

Finding the Product of the Roots of a Quadratic Equation

To find the product of the roots of a quadratic equation in the form of \(ax^2 + bx + c = 0\), we can use the following formula:

\[ \text{Product of roots} = \frac{c}{a} \]

In the given quadratic equation \(x^2 - 4x - 5 = 0\), the coefficients are: - \(a = 1\) - \(b = -4\) - \(c = -5\)

Using the formula, we can calculate the product of the roots.

Calculation

The product of the roots of the quadratic equation \(x^2 - 4x - 5 = 0\) is given by: \[ \text{Product of roots} = \frac{c}{a} = \frac{-5}{1} = -5 \]

Therefore, the product of the roots of the given quadratic equation is -5.

I hope this helps! If you have any further questions, feel free to ask.