যদি p - 1/p = √5 হয়, তাহলে (p6 - 1)/p3 এর মান কত?
A
2√5
B
5√5
C
8√5
D
10
উত্তরের বিবরণ
প্রশ্ন: যদি p - 1/p = √5 হয়, তাহলে (p6 - 1)/p3 এর মান কত?
সমাধান:
দেওয়া আছে, p - 1/p = √5
এখন,
(p6 - 1)/p3
= (p6/p3) - (1/p3)
= p3 - (1/p3)
= {p - (1/p)}3 + 3 × p × (1/p){(p - (1/p)}
⇒ (√5)3 + 3 × √5
⇒ 5√5 + 3√5
∴ (p6 - 1)/p3 = 8√5
0
Updated: 1 month ago
- 8 < x < 2 এর পরম মান কত?
Created: 1 month ago
A
|x - 3| < 5
B
|x + 3| < 5
C
|x + 3| < 7
D
|x - 3| < 7
প্রশ্ন: - 8 < x < 2 এর পরম মান কত?
সমাধান:
- 8 < x < 2
বা, - 8 + 3 < x + 3 < 2 + 3
বা, - 5 < x + 3 < 5
∴ |x + 3| < 5
0
Updated: 1 month 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: 3 days ago
যদি log2x + log2(x - 2) = 3 হয়, তবে x এর মান কত?
Created: 1 month ago
A
2
B
4
C
6
D
3
প্রশ্ন: যদি log2x + log2(x - 2) = 3 হয়, তবে x এর মান কত?
সমাধান:
দেওয়া আছে,
log2x + log2(x - 2) = 3
⇒ log2[x(x - 2)] = 3
⇒ x(x - 2) = 23 = 8
⇒ x2 - 2x = 8
⇒ x2 - 2x - 8 = 0
⇒ x2 - 4x + 2x - 8 = 0
⇒ x(x - 4) + 2(x - 4) = 0
⇒ (x - 4)(x + 2) = 0
হয়,
(x - 4) = 0
∴ x = 4
অথবা,
(x + 2) = 0
∴ x = - 2 [যা গ্রহণযোগ্য নয়]
∴ নির্ণয়ে x এর মান 4
0
Updated: 3 days ago
