Question

1.x2-11x+10=0 2.x2-16x+48=0 3.x2+10x+9=0 4.x2-6x-40=0 5.x2-x-72=0 Виета

Answer 1

Ответ:

1)х1=10 х2=1

2)х1=12 х2=4

3)х1=9 х2=1

Answer 2

Это 4 и 5 задание
надеюсь чем то помогла )

Answer 3

Vieta's formulas are mathematical formulas that relate the coefficients of a polynomial to the sums and products of its roots. For a quadratic equation of the form ax^2 + bx + c = 0, where x represents the variable, the Vieta's formulas are as follows:

1. Sum of the roots (x1 and x2): Sum = -b/a

2. Product of the roots (x1 and x2): Product = c/a

Let's apply Vieta's formulas to the given quadratic equations:

1. x^2 - 11x + 10 = 0 Sum of the roots: x1 + x2 = 11/1 = 11 Product of the roots: x1 * x2 = 10/1 = 10

2. x^2 - 16x + 48 = 0 Sum of the roots: x1 + x2 = 16/1 = 16 Product of the roots: x1 * x2 = 48/1 = 48

3. x^2 + 10x + 9 = 0 Sum of the roots: x1 + x2 = -10/1 = -10 Product of the roots: x1 * x2 = 9/1 = 9

4. x^2 - 6x - 40 = 0 Sum of the roots: x1 + x2 = 6/1 = 6 Product of the roots: x1 * x2 = -40/1 = -40

5. x^2 - x - 72 = 0 Sum of the roots: x1 + x2 = 1/1 = 1 Product of the roots: x1 * x2 = -72/1 = -72

These are the sums and products of the roots for the given quadratic equations using Vieta's formulas.