যদি (25)2x + 3 = 53x + 6 হয় তবে x = কত?
A
0
B
1
C
- 1
D
4
উত্তরের বিবরণ
প্রশ্ন: যদি (25)2x + 3 = 53x + 6 হয় তবে x = কত?
সমাধান:
(25)2x + 3 = 53x + 6
বা, (52)2x + 3 = 53x + 6
বা, 54x + 6 = 53x + 6
বা, 4x + 6 = 3x + 6
বা, 4x - 3x = 6 - 6
∴ x = 0
0
Updated: 1 month ago
α and β are the roots of 5x2 + 3x + 1 = 0 then, the value of (1/α) + (1/β) is-
Created: 1 month ago
A
2
B
- 1
C
5
D
- 3
Question: α and β are the roots of 5x2 + 3x + 1 = 0 then, the value of (1/α) + (1/β) is-
Solution:
Here,
5x2 + 3x + 1 = 0
where, a = 5, b = 6 and c = 1
∴ α + β = - (b/a) = - 3/5
and αβ = c/a = 1/5
∴ (1/α) + (1/β)
= (β + α)/αβ
= {- (3/5)}/(1/5)
= - 3
0
Updated: 1 month ago
If x = a + 1/a and y= a - 1/a , find the value of x2 + y2 + 2xy = ?
Created: 1 month ago
A
16a
B
4a2
C
8a2
D
2a
If x = a + 1/a and y= a - 1/a , find the value of x2 + y2 + 2xy = ?
Solution:
Given that,
x = a + 1/a and y= a - 1/a
Now,
x + y = a + 1/a + a - 1/a
∴ x + y = 2a
Now, the given expression is,
x2 + y2 + 2xy
= x2 + 2xy + y2
= (x + y)2
= (2a)2
= 4a2
0
Updated: 1 month ago
x + 2y = 4 হলে, x3 + 8y3 + 24xy এর মান কত?
Created: 1 month ago
A
27
B
48
C
64
D
80
প্রশ্ন: x + 2y = 4 হলে, x3 + 8y3 + 24xy এর মান কত?
সমাধান:
দেওয়া আছে,
x + 2y = 4
এখন,
x3 + 8y3 + 24xy
= x3 + (2y)3 + 24xy
= (x + 2y)3 - 3 . x . 2y(x + 2y) + 24xy [a3 + b3 = (a + b)3 - 3ab(a + b)]
= (4)3 - 6xy(4) + 24xy
= 64 - 24xy + 24xy
= 64
∴ x3 + 8y3 + 24xy = 64
0
Updated: 1 month ago
