Home » Aptitude » Algebra » Question
  1. If x +
    1
    = 5 , then the value of
    x4 + 3x3 + 5x2 + 3x + 1
    xx4 + 1
    1. 43
      23
    2. 47
      21
    3. 41
      23
    4. 45
      21
Correct Option: A

Using Rule1 and 8,

⇒ x +
1
= 5
x

On squaring both sides,
⇒ x2 +
1
+ 2 = 25
x2

⇒ x2 +
1
= 25 - 2 = 23 ...(i)
x2

Expression
=
x4 + 3x3 + 5x2 + 3x + 1
x4 + 1

=
x4 + 1 + 3x3 + 3x + 5x2
x4 + 1


=
23 + 3 × 5 + 5
=
43
2323



Your comments will be displayed only after manual approval.