chanticleer400
chanticleer400 chanticleer400
  • 08-06-2021
  • Mathematics
contestada

[tex]2x^{2} - 14x + 24[/tex]

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 08-06-2021

Answer:

Factorized

      [tex]=(2x-8)(x-3)[/tex]

Roots : 4 , 3

Step-by-step explanation:

If it is to factorize :

[tex]2x^2 - 14x + 24 = 2x^2 -6x-8x +24[/tex]

                     [tex]=2x(x-3)-8(x-3)\\=(2x-8)(x-3)[/tex]

If it is to solve for x :

[tex]2x^2 -1 4x + 24 = 0\\(2x-8)(x-3)=0\\2x - 8 = 0 \ , \ x - 3 = 0\\2x = 8 \ , \ x = 3\\x = 4 , 3[/tex]

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