Tenglamalar sistemasini yechishning turli usullari — 9-sinf Algebra test savollari

1.{x²+y²=25, x+y=7} tizimda (x-y)² ni toping.

• A)1
• B)49
• C)24
• D)12

2.{x²-3xy+2y²=0, x+y=3} tizimning nechta (x; y) yechimi bor?

• A)2 ta
• B)1 ta
• C)3 ta
• D)0 ta

3.{x/y + y/x = 2, x+y=6} tizimda x ning qiymatini toping.

• A)3
• B)6
• C)2
• D)1

4.{2x+y=7, x²-y=1} tizimda x ning musbat ildizini toping.

• A)2
• B)-4
• C)7
• D)1

5.{x²+y²+2x=7, x+y=1} tizimda x² ning qiymatini toping.

• A)3
• B)6
• C)7
• D)1

6.{x+2y=5, xy=3} tizimda o'rniga qo'yish usulida x=5-2y ni qo'yib, hosil bo'lgan tenglamani ko'rsating.

• A)2y² - 5y + 3 = 0
• B)2y² + 5y + 3 = 0
• C)y² - 5y + 3 = 0
• D)2y² - 5y - 3 = 0

7.{x-y=1, x²+y²=13} tizimda x ning musbat qiymatini toping.

• A)3
• B)-2
• C)2
• D)-3

8.{x+y=4, x²+y²=10} tizimda xy ni toping.

• A)3
• B)6
• C)10
• D)4

9.Simmetrik tenglamalar sistemasini yechishda ko'pincha qanday yangi o'zgaruvchilar kiritiladi?

• A)s=x+y va p=xy
• B)faqat s=x-y
• C)faqat $p=\frac{x}{y}$
• D)t=x² va r=y²

10.{y=x², x+y=6} tizimda x ning musbat ildizini toping.

• A)2
• B)-3
• C)6
• D)3