İkinci Dereceden Denklemlerin Kökleri

Kutuların içine yazılmıştır.

$$x^2 - mx + n = 0$$ (I) ve $$x^2 + mx - 14 = 0$$ (II)

Yukarıdaki şemada I. denklemin kökleri a ve 2, II. denklemin kökleri ise 2 ve b dir.

Buna göre

I. $$a \cdot b = -21$$

II. $$m + n = 11$$

III. $$a - n = 0$$

ifadelerinden hangileri doğrudur?

A) Yalnız I

B) Yalnız II

C) I ve II

D) II ve III

E) I, II ve III

Soruda görsel içerik var: The image contains a flow-chart-like diagram. There are two blue boxes containing quadratic equations: 'I. x^2 - mx + n = 0' and 'II. x^2 + mx - 14 = 0'. Below these, there are three orange boxes labeled 'a', '2', and 'b'. Arrows originate from the equations to these roots. An arrow goes from the first equation to both 'a' and '2', indicating these are the roots of the first equation. Another arrow goes from the second equation to both '2' and 'b', indicating these are the roots of the second equation. Below the diagram, there is handwritten text showing the discriminant formula 'b^2 - 4ac' applied to an equation as '( -mx )^2 - 4 * 1 * n = 0'.