wshscaylaj wshscaylaj
  • 13-07-2021
  • Mathematics
contestada

Determine the value(s) for which the rational expression -3z+6/6z^2+14z-80 is undefined.

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 18-07-2021

Answer:

[tex]z= 2 \ and \ z = \frac{-20}{3}[/tex]

Step-by-step explanation:

For the given expression to be undefined, it means that the denominator of the expression must be equal to zero

Hence;

[tex]6z^2+14z-80 = 0[/tex]

On factorizing:

[tex]6z^2+14z-80=0\\3z^2+7z-40 = 0\\3z^2-6z+20z-40 = 0\\3z(z-2)+20(z-2) = 0\\(3z+20)(z-2) =0\\(z-2)=0 \ and \ (3z+20)=0\\z= 2 \ and \ z = \frac{-20}{3}[/tex]

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