Question

X^2 -10x+24=0 x^2 -10x+24=0 x^2 -10x+24=0

Answer 1

Ответ:

Корни данного уравнения: 4; 6.

Объяснение:

x² - 10x + 24 = 0

По т-ме Виета корни: x₁ = 4; x₂ = 6

Ответ: 4; 6.

Answer 2

It seems like you've provided the same quadratic equation three times. The equation you've given is:

x^2 - 10x + 24 = 0

To solve this quadratic equation, you can use the quadratic formula, which is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this formula, a, b, and c correspond to the coefficients of the quadratic equation in the form of ax^2 + bx + c = 0.

In your equation, a = 1, b = -10, and c = 24. Plugging these values into the quadratic formula:

x = (-(-10) ± √((-10)^2 - 4 * 1 * 24)) / (2 * 1)

Now, let's simplify:

x = (10 ± √(100 - 96)) / 2 x = (10 ± √4) / 2 x = (10 ± 2) / 2

Now, you have two possible solutions for x:

1. x = (10 + 2) / 2 = 12 / 2 = 6
2. x = (10 - 2) / 2 = 8 / 2 = 4

So, the solutions to the equation x^2 - 10x + 24 = 0 are x = 6 and x = 4.