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If frac(x)(2x^2+5x+2)=frac(1)(6), then t...

If `frac(x)(2x^2+5x+2)=frac(1)(6)`, then the value of `(x+frac(1)(x))` is

A

2

B

`(1)/(2)`

C

`-(1)/(2)`

D

`-2`

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The correct Answer is:
B
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LUCENT PUBLICATION-ALGEBRAIC IDENTITIES -Exercise - 1A
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  2. If xy ( x + y) = 1 ,then the value of (1)/( x^(3) y^(3)) - x^(3) -...

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  3. If frac(x)(2x^2+5x+2)=frac(1)(6), then the value of (x+frac(1)(x)) is

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  4. Value of the expression ((a-b)^(2))/((b-c) (c-a)) +((b-c)^(2))/((a-b) ...

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  5. If 3x+(1)/(2x)=5 then what is the value of 27x^(3)+(1)/(8x^(3))?

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  6. If (a-3)^(2)+(b-4)^(2) +(c-9)^(2)=0 then what is the value of sqrt(a+b...

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  7. If average of x and (1)/(x) (x ne 0) is M then what is the average ...

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  8. If a,b, c are real and a^(2) + b ^(2) + c ^(2) = 2 (a - b - c) -3, the...

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  9. If a + b + c =0 then the value of (1)/((a + b ) (b + c)) + (1)/( (b ...

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  10. If 5x^(2) -4xy +y^(2) -2x +1=0 then value of x+y is

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  11. If x= b + c - 2a , y = c + a - 2 b , z = a + b -2 c then the value o...

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  12. (y-z)^3 + (z-x)^3 + (x-y)^3 is equal to:

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  13. If x = 2 - 2 ^(1 // 3) + 2^(2//3) , then the value of x^(3) - 6 x ...

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  14. If a^(3) - b ^(3) - c^(3) - 3abc = 0 then

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  15. If x ^(2) - 3 x + 1 =0, then what is the value of x ^(3) + (1)/(x ^(3...

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  16. If 2x + (1)/(3x) = 5, the value of (5x )/( 6x ^(2) + 20 x + 1 ) is

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  17. If m + (1)/( m - 2) = 4 find the value of (m - 2) ^(2) (1)/( ( m - 2)^...

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  18. If a ^(2)= b + c, b ^(2) = a + c, c ^(2) = b +a , then what will be t...

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  19. IF (a )/( 1 - a) + (b)/( 1 - b) + (c)/(1 - c) = 1 then the value of ...

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  20. If a^(2) + b^(2) + 2b + 4a + 5 = 0 , then the value of (a - b)/( a + ...

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