Advertisements
Advertisements
प्रश्न
If `2"x"-1/(2"x")=4`, find : `4"x"^2+1/(4"x"^2)`
बेरीज
उत्तर
`2"x"-1/"2x"=4`
`⇒(2"x"-1/"2x")^2=(4)^2`
`⇒(2"x")^2+(1/"2x")^2-2xx2"x"xx1/"2x"=16`
`⇒4"x"^2+1/"4x"^2-2=16`
`⇒4"x"^2+1/"4x"^2=16+2`
`⇒4"x"^2+1/"4x"^2=18`
shaalaa.com
Application of Formulae
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
If a – b = 6 and ab = 16, find a2 + b2
If a2 + b2 = 29 and ab = 10, find : a − b
If `"a" + 1/"a"=3`, find `"a"^2+1/"a"^2`
Find : a + b + c, if a2 + b2 + c2 = 83 and ab + bc + ca = 71.
Find : `"a"^3-1/"a"^3`, if `"a" -1/"a"=4`.
If `2"x"-1/(2"x")=4`, find : `8"x"^3-1/(8"x"^3)`
If a + b + c = 9 and ab + bc + ca = 15, find: a2 + b2 + c2.
If 3x – 4y = 5 and xy = 3, find : 27x3 – 64y3.
If 3x + 2y = 9 and xy = 3, find : 27x3 + 8y3.
If 5x – 4y = 7 and xy = 8, find : 125x3 – 64y3.
