Ferdi Question?

Algebra Level 4
  • Know that
  • f + 4 e + 9 r + 16 d + 25 i = 1 f+4e+9r+16d+25i=1
  • 4 f + 9 e + 16 r + 25 d + 36 i = 8 4f+9e+16r+25d+36i=8
  • 9 f + 16 e + 25 r + 36 d + 49 i = 27 9f+16e+25r+36d+49i=27
  • Find the value of 16 f + 25 e + 36 r + 49 d + 64 i 16f+25e+36r+49d+64i .


The answer is 58.

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1 solution

  • We know, 16 f + 25 e + 36 r + 49 d + 64 i = ( f + 4 e + 9 r + 16 d + 25 i ) 3 ( 4 f + 9 e + 16 r + 25 d + 36 i ) + 3 ( 9 f + 16 e + 25 r + 36 d + 49 i ) 16f+25e+36r+49d+64i=(f+4e+9r+16d+25i)-3*(4f+9e+16r+25d+36i)+3*(9f+16e+25r+36d+49i)
  • So, 16 f + 25 e + 36 r + 49 d + 64 i = 1 3 8 + 3 27 16f+25e+36r+49d+64i=1-3*8+3*27
  • 16 f + 25 e + 36 r + 49 d + 64 i = 58 16f+25e+36r+49d+64i=58

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