x + y = 2 এবং x2 + y2 = 4 হলে, x3 + y3 = কত?
A
2
B
4
C
6
D
8
উত্তরের বিবরণ
সমাধান:
আমরা জানি,
(x + y)2 = x2 + y2 + 2xy
বা, 22 = 4 + 2xy
বা, 4 = 4 + 2xy
বা, 2xy = 0
∴ xy = 0
প্রদত্ত রাশি,
x3 + y3 = (x + y)3 - 3xy(x + y)
= 23 - 3 × 0 × 2
= 8 - 0
= 8
আমরা জানি,
(x + y)2 = x2 + y2 + 2xy
বা, 22 = 4 + 2xy
বা, 4 = 4 + 2xy
বা, 2xy = 0
∴ xy = 0
প্রদত্ত রাশি,
x3 + y3 = (x + y)3 - 3xy(x + y)
= 23 - 3 × 0 × 2
= 8 - 0
= 8
0
Updated: 2 days ago
9x + 9x + 9x =
কত?
Created: 2 months ago
A
93x
B
2x + 1
C
32x + 1
D
32x
সমাধান:
দেওয়া আছে,
9x + 9x + 9x
= 9x(1 + 1 + 1)
= (32)x × 3
= 32x + 1
0
Updated: 2 months ago
Four girls are sitting on a bench to be photographed. Asma is to the left of Rani. Rubi is to the right of Rani. Rita is between Rani and Rubi. Who would be third from the left in the photograph?
Created: 1 month ago
A
Rita
B
Rani
C
Asma
D
Rubi
Question: Four girls are sitting on a bench to be photographed. Asma is to the left of Rani. Rubi is to the right of Rani. Rita is between Rani and Rubi. Who would be third from the left in the photograph?
Solution:
Asma is to the left of Rani.
Asma ⇔ Rani
Rubi is to the right of Rani.
Rani ⇔ Rubi
Rita is between Rani and Rubi.
Rani ⇔ Rita ⇔ Rubi
∴ Asma ⇔ Rani ⇔ Rita ⇔ Rubi.
Rita would be third from the left in the photograph
0
Updated: 1 month ago
x - 1/x = 7 হলে x3 - 1/x3 এর মান কত?
Created: 2 months ago
A
334
B
154
C
364
D
512
প্রশ্ন: x - 1/x = 7 হলে, x3 - 1/x3 এর মান কত?
সমাধান:
x - 1/x = 7
x3 - 1/x3 = (x - 1/x)3 + 3x.1/x(x - 1/x)
= 73 + 3 × 7
= 343 + 21
= 364
0
Updated: 2 months ago
