Advertisements
Advertisements
प्रश्न
If 4x2 + y2 = a and xy = b, find the value of 2x + y.
बेरीज
उत्तर
xy = b ….(i)
4x2 + y2 = a ….(ii)
Now, (2x + y)2 = (2x)2 + 4xy + y2
= 4x2 + y2 + 4xy
= a + 4b ….[From (i) and (ii)]
⇒ 2x + y = `+- sqrt( a + 4b)`
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Find the cube of : 5a + 3b
Find the cube of : `( 3a - 1/a ) (a ≠ 0 )`
If a2 + `1/a^2 = 47` and a ≠ 0 find :
- `a + 1/a`
- `a^3 + 1/a^3`
If a + 2b + c = 0; then show that: a3 + 8b3 + c3 = 6abc.
If a ≠ 0 and `a - 1/a` = 4 ; find : `( a^2 + 1/a^2 )`
Find the cube of: `"a" - (1)/"a" + "b"`
If a + b + c = 0; then show that a3 + b3 + c3 = 3abc.
If x + 2y = 5, then show that x3 + 8y3 + 30xy = 125.
Evaluate the following :
(3.29)3 + (6.71)3
a3 + b3 = (a + b)3 = __________