Advertisements
Advertisements
प्रश्न
If `3"x"+1/(3"x")=3`, find : `27"x"^3+1/(27"x"^3)`
बेरीज
Advertisements
उत्तर
`3"x"+1/"3x"=3`
`⇒(3"x"+1/"3x")^3=(3)^3`
`⇒(3"x")^3+(1/"3x")^3+3xx3"x"xx1/"3x"(3"x"+1/"3x")=27`
`⇒27"x"^3+1/"27x"^3+3(3"x"+1/"3x")=27`
`⇒27"x"^3+1/"27x"^3+3(3)=27`
`⇒27"x"^3+1/"27x"^3+9=27`
`⇒27"x"^3+1/"27x"^3=27-9`
`⇒27"x"^3+1/"27x"^3=18`
shaalaa.com
Application of Formulae
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
If a+b=5 and ab = 6, find a2 + b2
If a – b = 6 and ab = 16, find a2 + b2
If `"a" - 1/"a"=4`, find : `"a"^2+1/"a"^2`
If `"a"^2+ 1/"a"^2=23`, find : `"a" +1/"a"`
If a + b + c = 10 and a2 + b2 + c2 = 38, find : ab + bc + ca
If a – b = 3 and ab = 10, find : a3 – b3.
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 a2 + b2 = 41 and ab = 4, find : a – b
If a + b = 8 and ab = 15, find a3 + b3.
