Advertisements
Advertisements
प्रश्न
If a2 + b2 = 29 and ab = 10, find : a − b
Advertisements
उत्तर
(a − b)2 = a2 + b2 − 2ab
⇒ (a − b)2 = 29 − 2×10
⇒ (a − b)2 = 29 − 20
⇒ (a − b)2 = 9
⇒ a − b = `sqrt9`
⇒ a − b = ±3
APPEARS IN
संबंधित प्रश्न
If a2 + b2 = 29 and ab = 10, find : a + b
If a2 + b2= 10 and ab = 3; find : a + b
Find:
`a^3-1/a^3`, if `a -1/a = 4`.
If `2"x"-1/(2"x")=4`, find : `4"x"^2+1/(4"x"^2)`
If `2"x"-1/(2"x")=4`, find: `8"x"^3-1/(8"x"^3)`
If `3"x"+1/(3"x")=3`, find : `9"x"^2+1/(9"x"^2)`
The sum of the squares of two numbers is 13 and their product is 6. Find:
(i) the sum of the two numbers.
(ii) the difference between them.
If a + b + c = 9 and ab + bc + ca = 15, find: a2 + b2 + c2.
If 3x – 4y = 5 and xy = 3, find : 27x3 – 64y3.
The difference between the two numbers is 5 and their products are 14. Find the difference between their cubes.
