If x2 - 4x + 1 = 0,   the value of : from Quantit

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181.

If fraction numerator 3 over denominator left parenthesis straight x plus 2 right parenthesis thin space left parenthesis 2 straight x plus 1 right parenthesis end fraction space space equals space fraction numerator straight a over denominator 2 straight x plus 1 end fraction space plus space fraction numerator straight b over denominator straight x plus 2 end fraction be an identity, then the value of b is

  • 0

  • -1

  • 2

  • 3

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182.

If a + b = 5   and   a - b = 3, then the value of (a2 + b2) is

  • 17

  • 18

  • 19

  • 20

54 Views

183.

If straight x space equals space straight a space plus space 1 over straight a and straight y space equals space straight a space minus space 1 over straight a comma the value of x4 + y4 - 2x2y2 is

  • 4

  • 8

  • 16

  • 64

41 Views

184.

If x2 + 5x + 6 =  0,   then the value of fraction numerator 2 straight x over denominator straight x squared minus 7 straight x plus 6 end fraction is:

  • 1 over 6

  • 1 third

  • negative 1 over 6

  • negative 1 third

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185.

If straight a over straight b space plus space straight b over straight a space equals space 1 comma then the value of a3 + b3 will be

  • 1

  • 0

  • -1

  • 2

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186.

If p = 99,  then the value of p(p2 + 3p + 3) will be

  • 999999

  • 1000000

  • 1000001

  • 999998

244 Views

187.

If a - b = 1  and a3 - b3 = 61, the the value of ab will be

  • -20

  • 20

  • 30

  • 60

57 Views

188.

If fraction numerator straight x over denominator straight x plus straight b end fraction space plus space 1 space equals space fraction numerator straight x over denominator straight a minus straight b end fraction space plus space fraction numerator straight a minus straight b over denominator straight a plus straight b end fraction comma then x is equal to

  • 2a - b

  • a + b

  • a - b

  • 2a + b

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189.

If x2 - 4x + 1 = 0,   the value of fraction numerator straight x to the power of 6 plus 1 over denominator straight x cubed end fraction space is:

  • 48

  • 52

  • 55

  • 58


B.

52

x2 - 4x + 1 = 0
straight x squared minus 4 straight x plus 1 space equals space 0
rightwards double arrow space space straight x squared plus 1 space equals space 4 straight x
rightwards double arrow space space space straight x plus space 1 over straight x space equals space 4
If straight x space plus space 1 over straight x space equals space straight a comma   then straight x cubed space plus space 1 over straight x cubed space equals space straight a cubed space minus space 3 straight a
therefore space space straight x cubed space plus space 1 over straight x cubed space equals space left parenthesis 4 right parenthesis cubed space minus space 3 space cross times space 4 space equals space 64 space minus space 12 space equals space 52
therefore space space straight x cubed space plus space 1 over straight x cubed space equals space fraction numerator straight x to the power of 6 plus 1 over denominator straight x cubed end fraction space equals space 52


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190.

If a2 = b + c,   b2 = c + a,   c2 = a + b, then the value of:
3 open parentheses fraction numerator 1 over denominator straight a plus 1 end fraction space plus space fraction numerator 1 over denominator straight b plus 1 end fraction space plus space fraction numerator 1 over denominator straight c plus 1 end fraction close parentheses

  • 1

  • 1 third

  • 3

  • 4

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