Question

Вычисли сумму и произведение корней уравнения: 26-x^2 =0 . 1-Сумма корней равна - 2-Произведение корней равно - Надо ответить на 1 и на 2, 20 баллов даю

Answer 1

Объяснение:

$26-x^2=0\ |*(-1)\\x^2-26=0\\x_1+x_1=-b=0.\\x_1*x_2=c=-26.$

Ответ: 1 - cумма корней равна 0.

            2 - произведение корней равно -26.

Answer 2

Solving the Equation for Sum and Product of Roots

To find the sum and product of the roots of the equation \(26 - x^2 = 0\), we can use the following formulas:

1. Sum of the roots: The sum of the roots of a quadratic equation \(ax^2 + bx + c = 0\) is given by \(-\frac{b}{a}\). 2. Product of the roots: The product of the roots of a quadratic equation \(ax^2 + bx + c = 0\) is given by \(\frac{c}{a}\).

Calculation

Given the equation \(26 - x^2 = 0\), we can identify \(a = 1\), \(b = 0\), and \(c = -26\).

1. Sum of the roots: Using the formula \(-\frac{b}{a}\), the sum of the roots is \(-\frac{0}{1}\), which equals 0.

2. Product of the roots: Using the formula \(\frac{c}{a}\), the product of the roots is \(\frac{-26}{1}\), which equals -26.

Therefore, the sum of the roots is 0 and the product of the roots is -26.