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AP EAMCET202017 Sep 2020Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If ( 1 2 ( ( 24 )+ ( 24 ) )= a^2+a + a ), then (a= )

Options

  1. A3
  2. B2
  3. C1
  4. D4

Correct answer

B. 2

Step-by-step solution

To get ( 24 ), we proceed as follows ( aligned 24 & = 2 ^2 24 2 24 24 & = 1+ 12 12 = 1+ ( 4 - 6 ) 1+ ( 4 - 6 ) aligned ) ( aligned & = 1+ 1 2 3 2 + 1 2 1 2 1 2 3 2 - 1 2 1 2 & =2+ 2 + 3 + 6 & and 24 =-2+ 2 - 3 + 6 & So, 1 2 ( 24 + 24 )= 2 + 6 = 2^2+2 + 2 & = a^2+a + a (given) aligned ) So, (a=2 )

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