Найдите сумму корней квадратного уравнения х? - 5х - 1 = 0,

To find the sum of the roots of the quadratic equation \(x^2 - 5x - 1 = 0\), we can use Vieta's formulas. Vieta's formulas relate the coefficients of a polynomial to sums and products of its roots.

For a quadratic equation of the form:

\[ ax^2 + bx + c = 0 \]

The sum of the roots \((x_1 + x_2)\) is given by:

\[ x_1 + x_2 = -\frac{b}{a} \]

In the given equation \(x^2 - 5x - 1 = 0\), the coefficients are:

• \(a = 1\)
• \(b = -5\)
• \(c = -1\)

Applying Vieta's formula for the sum of the roots:

\[ x_1 + x_2 = -\frac{-5}{1} = 5 \]

So, the sum of the roots of the equation \(x^2 - 5x - 1 = 0\) is 5.