Tenglamalar

Question 1

Agar $(x; y)$ sonlar jufti
$x^2+xy+y^2=56$
$x+\sqrt{xy}+y=8$
tenglamalar sistemasining ildizi bo‘lsa, $x-\sqrt{xy}+y$ ning qiymatini toping.

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 2

$2x^2-5x-3=0$ tenglamaning ildizlari $x_1$ va $x_2$ bo‘lsa, $\frac{1}{x_1}+\frac{1}{x_2}$ ni hisoblang.

Accepted Answer

$-\frac53$

Answer

$-\frac35$

Answer

$\frac53$

Answer

$\frac35$

Question 3

Tenglamani yeching: $\frac{x-7}{3}+\frac{2x+1}{2}=\frac{5}{6}$

Accepted Answer

2

Answer

3

Answer

4

Answer

5

Question 4

$x$ va $y$ butun sonlar uchun
$\frac{\left|\sqrt{x+y}+\sqrt{2x+y+2}-7\right|+|3x+2y-23|}{x+9}=0$
tenglik o‘rinli bo‘lsa, $x+y$ ning qiymatini toping.

Accepted Answer

9

Answer

25

Answer

16

Answer

9 yoki 16

Question 5

$(x^2+x)+(x^2+2x)+...+(x^2+19x)=1425$ tenglamaning natural ildizi $x_0$ bo‘lsa, $x_0+2$ ni toping.

Accepted Answer

7

Answer

10

Answer

8

Answer

6

Question 6

$\left(x^2-12x+10\right)^2=\left(3x+10\right)^2$ tenglamaning barcha haqiqiy yechimlari yig‘indisini toping.

Accepted Answer

24

Answer

20

Answer

3

Answer

19

Question 7

$1{,}5\cdot(6x+8)=12x-3$ tenglamani yeching.

Accepted Answer

5

Answer

15

Answer

3

Answer

4

Question 8

$\frac{x^2}{3}+\frac{48}{x^2}=10\left(\frac{x}{3}-\frac{4}{x}\right)$ tenglamaning haqiqiy ildizlari yig‘indisini toping.

Accepted Answer

10

Answer

6

Answer

$-1$

Answer

4

Question 9

$\left(3x^2-2\right)\sqrt{2x-1}-x\sqrt{2x-1}=0$ tenglamaning ildizlari yig‘indisini toping.

Accepted Answer

1,5

Answer

0,5

Answer

2

Answer

2,5

Boshqa mavzular