(3x + 4y) = 23 এবং (4x - 3y) = 14 সরলরেখা দুটি কোন বিন্দুতে ছেদ করে?
A
(5, 2)
B
(3, 4)
C
(4, 3)
D
(2, 5)
উত্তরের বিবরণ
0
Updated: 1 month ago
Which value of x will satisfy the given inequality,
2(x - 4) ≥ 3x - 5 ?
Created: 1 month ago
A
x ≥ 3
B
x ≤ - 8
C
x ≥ - 4
D
x ≤ -3
Question: Which value of x will satisfy the given inequality,
2(x - 4) ≥ 3x - 5 ?
Solution:
Given,
2(x - 4) ≥ 3x - 5
⇒ 2x - 8 ≥ 3x - 5
⇒ 2x - 3x ≥ -5 + 8
⇒ - x ≥ 3
⇒ x ≤ - 3 [ Multiplying both sides of an inequality by a negative number reverses the inequality sign ]
0
Updated: 1 month ago
3x2 - 10x - 8 এর উৎপাদকে বিশ্লেষণ কোনটি?
Created: 1 month ago
A
(3x - 2)(x + 4)
B
(3x + 2)(x - 4)
C
(3x + 4)(x - 2)
D
(3x - 4)(x + 2)
প্রশ্ন: 3x2 - 10x - 8 এর উৎপাদকে বিশ্লেষণ কোনটি?
সমাধান:
3x2 - 10x - 8
= 3x2 - 12x + 2x - 8
= 3x(x - 4) + 2(x - 4)
= (3x + 2)(x - 4)
0
Updated: 1 month ago
x + y = 2, x2 + y2 = 4 হলে x3 + y3 = ?
Created: 2 months ago
A
8
B
9
C
16
D
25
প্রশ্ন: x + y = 2, x2 + y2 = 4 হলে x3 + y3 = ?
সমাধান:
দেওয়া আছে,
x + y = 2
x2 + y2 = 4
আমরা জানি,
(x + y)2 = x2 + y2 + 2xy
⇒ 22 = 4 + 2xy
⇒ 4 = 4 + 2xy
⇒ 2xy = 4 - 4
⇒ 2xy = 0
⇒ xy = 0/2
∴ xy = 0
x3 + y3 = (x + y)3 - 3xy(x + y)
= 23 - 3 × 0 × 2
= 8
0
Updated: 2 months ago
