NDA_Math_2025_Q74

Question:

If x2 – x + 1 = 0, then what is x x x x x x 11 1 24 8 is equal to?

If x2 – x + 1 = 0, then what is x x x x x x 11 1 24 8 is equal to?

Options:

  • a) 81
  • b) 85
  • c) 87
  • d) 90
  • a) 81
  • b) 85
  • c) 87
  • d) 90

correct answer : c)

Explanation:

x2 – x + 1 = 0 Þ x = 13
2
± i

if x = 13
2
+ i

then

1
x
=

13
2
– i
Now x x- 1

= 3i
x x x x x x-
 
 +-
 
 +-
 
11 1248
= – 3 + 9 + 81 = 87
Solved Paper – 2025 (I)

x2 – x + 1 = 0 Þ x = 13
2
± i

if x = 13
2
+ i

then

1
x
=

13
2
– i
Now x x- 1

= 3i
x x x x x x-
 
 +-
 
 +-
 
11 1248
= – 3 + 9 + 81 = 87
Solved Paper – 2025 (I)

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