যদি (x - y)2 = 14 এবং xy = 2 হয়, তবে x2 + y2 = কত?
A
12
B
14
C
16
D
18
উত্তরের বিবরণ
প্রশ্ন: যদি (x - y)2 = 14 এবং xy = 2 হয়, তবে x2 + y2 = কত?
সমাধান:
দেওয়া আছে
(x - y)2 = 14
xy = 2
আমরা জানি,
x2 + y2 = (x - y)2 + 2xy
= 14 + (2 × 2)
= 14 + 4
= 18
0
Updated: 1 month ago
If x = 2 , what is the value of 5x2√(x4 - x2) = ?
Created: 1 day ago
A
40√3
B
80
C
60√2
D
100
If x = 2 , what is the value of 5x2√(x4 - x2) = ?
Solution:
Given that,
x = 2
Now,
5x2√(x4 - x2)
= 5 × (2)2 × √(24 - 22)
= 5 × 4 × √(16 - 4)
= 20 × √(12)
= 20 × √(4 × 3)
= 20 × 2 × √3
= 40√3
0
Updated: 1 day ago
The equation 2x2 + kx + 8 = 0 has two equal roots, then the value of k is-
Created: 1 day ago
A
± 10
B
± 8
C
± 2√2
D
± √3
Question: The equation 2x2 + kx + 8 = 0 has two equal roots, then the value of k is-
Solution:
Here
a = 2, b = k and c = 8
Since the equation has two equal roots
: b2 - 4ac = 0
⇒ (k)2 - 4 × 2 × 8 = 0
⇒ k2 = 64
⇒ k = ± √(64)
k = ± 8
0
Updated: 1 day ago
1 + 2 + 3 + 4 +.................+ 99 = কত?
Created: 1 month ago
A
4650
B
4750
C
4850
D
4950
প্রশ্ন: 1 + 2 + 3 + 4 + ……………. + 99 = কত?
সমাধান:
n সংখ্যক স্বাভাবিক সংখ্যার সমষ্টি = n(n + 1)/2
∴ 99 স্বাভাবিক সংখ্যার সমষ্টি = 99(99 + 1)/2
= (100 × 99)/2
= 50 × 99
= 4950
0
Updated: 1 month ago
