Algebra Quint
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Kanal postlari
| 2 |  Matn yo'q... | 241 |
| 3 | x√x - 2018√x = 2017
x√x - 2018√x = 2018 - 1
x√x + 1 = 2018 + 2018√x
(√x)³ + (1)³ = 2018(√x + 1)
(√x + 1)(x - √x + 1) = 2018(√x + 1)
(x - √x + 1) = 2018
x - √x = 2017
So
x - √x - 1923
2017 - 1923
94 | 272 |
| 4 | x√x - 2018√x = 2017
Find X - √x -1923 | 248 |
| 5 | 2x+3y-5z==18__(1)
3x+2y+z==29___(2)
X+y+3z==17____(3)
5×(iii)–[(i) +(ii)]
19z==38
z==2
x+y==17-6=11
2x+2y==22
2x+3y==28
y=6
x=5
atq.......
5×6+6×2+5×2==52✅✅✅ | 207 |
| 6 |  Any short method | 188 |
| 7 | p³ = qy+rz
=>p²+x = px+qy+rz/p
=>q²+y = px+qy+rz/q
=>r²+z = px+qy+rz/z
=> x/(p²+x) + y/(q²+y) + z/(r²+z)
= (px+qy+rz)/(px+qy+rz) = 1✅ | 176 |
| 8 | Put p=q=r=1
1=y+z
1=z+x
1=x+y
Find =(x/1+x)+(y/1+y)+(z/1+z)
==X+y+z/x+y+z==1 | 193 |
| 9 |  Matn yo'q... | 210 |
| 10 | Put A=60,B=30,C=0
Ans=D | 299 |
| 11 |  Matn yo'q... | 291 |
| 12 |  Matn yo'q... | 287 |
| 13 | A+b+c=√64+2*256=24
24(64-256)+3*987
Ans=-ve
Only B | 193 |
| 14 |  Matn yo'q... | 193 |
| 15 |  Matn yo'q... | 1 |
| 16 | Set √(x-1/x)=a and √(1-1/x)=b
Then b+a=x
b²-a²=1-x
b-a=1/x-1
2a=x-1/x+1
2a=a²+1
(a-1)²=0
a=1
x-1/x=1
x²+1/x²=3 | 246 |
| 17 |  Matn yo'q... | 224 |
| 18 | Matn yo'q... | 1 |
| 19 | Set x=k+1 , y=k and z=k-1
k=2a
3k+3=3(4-a)
k+1=4-a
2a+1=4-a
a=1 | 292 |
| 20 |  Matn yo'q... | 327 |
