factor each:

1). X^6-64=0

2).36x^8-13x^4+1=0

Question

29-03-2015
Mathematics

Answered

factor each:

1). X^6-64=0

2).36x^8-13x^4+1=0

Verified Answer :

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Panoyin Panoyin · Answer 1 · 2015-03-30T21:14:38-04:00

x⁶ - 64 = 0
x⁶ + 8x³ - 8x³ - 64
(x³ - 8)(x³ + 8) = 0
x³ - 8 = 0 or x³ + 8 = 0
    +8 +8    -8   -8
   x³ = 8    x³ = -8
      x = 2 x = 2i
-----------------------------------------------------------------------------------------------
36x⁸ - 13x⁴ + 1 = 0
36x⁸ - 9x⁴ - 4x⁴ + 1 = 0
(9x⁴ - 1)(4x⁴ - 1) = 0
9x⁴ - 1 = 0 or 4x⁴ - 1 = 0
      +1 +1 +1 +1
   9x⁴ = 1    4x⁴ = 1
      9     9    4 4
      x⁴ ≈ 0.1 x⁴ = 0.25
       x ≈ 0.6     x ≈ 0.71

factor each: 1). X^6-64=02).36x^8-13x^4+1=0

Verified Answer :

Related Questions

factor each:

1). X^6-64=0

2).36x^8-13x^4+1=0