If  then what is the value of  from Quantitative

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241.

If straight x space plus space 1 over straight x space equals space 4 comma space then what is the value of straight x to the power of 6 space plus space 1 over straight x to the power of 6 ?

  • 52

  • 256

  • 1026

  • 2702


D.

2702

If straight x space plus space 1 over straight x space equals space straight a comma space spacethen,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
If straight x space plus space 1 over straight x space equals space straight a comma space space space then space straight x squared space plus space 1 over straight x squared space equals space straight a squared space minus space 2
therefore space space space left parenthesis straight x cubed right parenthesis squared space plus space fraction numerator 1 over denominator left parenthesis straight x cubed right parenthesis squared end fraction space equals space left parenthesis 52 right parenthesis squared space minus space 2
space space rightwards double arrow space space space straight x to the power of 6 space plus space 1 over straight x to the power of 6 space equals space 2704 space minus space 2 space equals space 2702


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242.

If straight y space equals space fraction numerator 2 minus straight x over denominator 1 plus straight x end fraction comma then what is the value of fraction numerator 1 over denominator straight y space plus space 1 end fraction space plus space fraction numerator 2 straight y space plus space 1 over denominator straight y squared minus 1 end fraction ?

  • fraction numerator left parenthesis 1 space plus space straight x right parenthesis thin space left parenthesis 2 space minus space straight x right parenthesis over denominator 2 straight x minus 1 end fraction

  • fraction numerator left parenthesis 1 space minus space straight x right parenthesis thin space left parenthesis 2 space plus space straight x right parenthesis over denominator straight x space minus space 1 end fraction

  • fraction numerator left parenthesis 1 space plus space straight x right parenthesis thin space left parenthesis 2 space minus space straight x right parenthesis over denominator 1 space minus space 2 straight x end fraction

  • fraction numerator left parenthesis 1 plus straight x right parenthesis thin space left parenthesis 1 minus 2 straight x right parenthesis over denominator 2 minus straight x end fraction


243.

If a3 + b3 = 35 and ab = 6, then what is the value of a + b?

  • 5

  • 8

  • 2

  • -8


244.

If (x - 2)2 + (y + 3)2 + (z - 15)2 = 0, then what is the value of x + y + z - 5?

  • 5

  • 9

  • 15

  • 20


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