anna741 anna741
  • 11-01-2021
  • Mathematics
contestada

Solve (x² - 16)(x² - 9) = 0

Respuesta :

VectorFundament120
VectorFundament120 VectorFundament120
  • 11-01-2021

Answer:

x=-4,4,-3,3

Step-by-step explanation:

Factor by the difference of two squares

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

[tex] {x}^{2} - 16 = (x + 4)(x - 4) \\ {x}^{2} - 9 = (x + 3)( x - 3)[/tex]

[tex](x + 4)(x - 4)(x + 3)(x - 3) = 0[/tex]

Therefore, our answer is x = -4,4,-3,3

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