Advertisements
Advertisements
प्रश्न
If `x^2 + 1/x^2 = 66`, find the value of `x - 1/x`
Advertisements
उत्तर
`(x - 1/x)^2 = x^2 = 1/x^2 - 2 xx x xx 1/x`
`(x - 1/x)^2 = x^2 + 1/x^2 - 2`
`=>(x - 1/x)^2 = 66 - 2` [∵ `x^2 + 1/x^2 = 66`]
`=> (x - 1/x)^2 = 64`
`=> (x - 1/x)^2 = (+-8)^2`
`=> x - 1/x = +-8^2`
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
103 × 107
Evaluate the following using suitable identity:
(998)3
Factorise the following:
27y3 + 125z3
Write the expanded form:
`(-3x + y + z)^2`
Write in the expanded form:
`(2 + x - 2y)^2`
If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
Mark the correct alternative in each of the following:
If \[x + \frac{1}{x} = 5\] then \[x^2 + \frac{1}{x^2} = \]
If \[x + \frac{1}{x} = 3\] then \[x^6 + \frac{1}{x^6}\] =
Use the direct method to evaluate the following products:
(a – 8) (a + 2)
Expand the following:
(3x + 4) (2x - 1)
Expand the following:
(x - 3y - 2z)2
Simplify by using formula :
(2x + 3y) (2x - 3y)
Evaluate the following without multiplying:
(999)2
Evaluate the following without multiplying:
(1005)2
If x + y = 1 and xy = -12; find:
x - y
If `"r" - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`
Simplify:
`("a" - 1/"a")^2 + ("a" + 1/"a")^2`
Simplify:
(3a - 7b + 3)(3a - 7b + 5)
Expand the following:
(4a – b + 2c)2
