Tenglamalar va tenglamalar sistemasi — test savollari javoblari bilan
Matematika · 39 ta ochiq savol (bankda jami 195 ta) · har birida to'g'ri javob va izoh
1. Agar $a^2 + b^2 + c^2 = ab + bc + ca$ bo'lsa, $(a + b + c)^2 = ?$ ($S = a^2 + b^2 + c^2$ orqali)
- A) $S$
- B) $2S$
- C) $3S$
- D) $4S$
Javobni ko'rish
To'g'ri javob: C) $3S$
2. Agar $x + y + z = 6$, $xy + yz + zx = 11$, $xyz = 6$ bo'lsa, $x^3 + y^3 + z^3$ ni toping.
- A) $18$
- B) $36$
- C) $54$
- D) $72$
Javobni ko'rish
To'g'ri javob: B) $36$
3. $P(x) = x^2 - 4x + 3$ bo'lsa, $P(1)$ ni toping.
- A) $0$
- B) $1$
- C) $-1$
- D) $2$
Javobni ko'rish
To'g'ri javob: A) $0$
4. $P(x) = x^3 - 6x^2 + 11x - 6$ ning ildizlarini toping.
- A) $1, 2, 3$
- B) $-1, -2, -3$
- C) $1, -2, 3$
- D) $-1, 2, -3$
Javobni ko'rish
To'g'ri javob: A) $1, 2, 3$
5. Agar $P(x) = x^4 + ax^3 + bx^2 + cx + d$ va $P(1) = 0$, $P(2) = 0$, $P(-1) = 0$, $P(-2) = 0$ bo'lsa, $a + b + c + d$ ni toping.
- A) $0$
- B) $-1$
- C) $1$
- D) $4$
Javobni ko'rish
To'g'ri javob: B) $-1$
6. Agar $P(x) = x^4 - 4x^3 + 6x^2 - 4x + 1$ bo'lsa, $P(x) = 0$ tenglamaning ildizini toping.
- A) $x = 1$ (4-karrali)
- B) $x = -1$ (4-karrali)
- C) $x = 1$ (2-karrali)
- D) $x = 2$ (4-karrali)
Javobni ko'rish
To'g'ri javob: A) $x = 1$ (4-karrali)
7. $\frac{x}{4} = \frac{9}{12}$ dan $x$ ni toping.
- A) $2$
- B) $3$
- C) $4$
- D) $6$
Javobni ko'rish
To'g'ri javob: B) $3$
8. $\frac{3}{7} = \frac{x}{21}$ dan $x$ ni toping.
- A) $7$
- B) $9$
- C) $12$
- D) $6$
Javobni ko'rish
To'g'ri javob: B) $9$
9. $\frac{x}{y} = \frac{y}{z} = \frac{z}{w}$ va $x = 1$, $w = 27$ bo'lsa, $y + z$ ni toping.
- A) $10$
- B) $12$
- C) $14$
- D) $8$
Javobni ko'rish
To'g'ri javob: B) $12$
10. Agar $\frac{a}{b} = \frac{b}{c}$ va $a + b + c = 26$, $ac = 36$ bo'lsa, $b$ ni toping.
- A) $4$
- B) $6$
- C) $8$
- D) $10$
Javobni ko'rish
To'g'ri javob: B) $6$
Bu — mavzuning ochiq namuna qismi. To'liq bank, vaqt rejimi, tahlil va xatolar ustida ishlash — test rejimida.