Answered

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factor each:
1). X^6-64=0
2).36x^8-13x^4+1=0

Sagot :

Panoyin
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
 
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