DjibrilX217331 DjibrilX217331
  • 25-10-2022
  • Mathematics
contestada

Solve each equation given the indicated root :2x^3 -5x^2 - 4x + 3= 0; 3

Respuesta :

AlianaE40772 AlianaE40772
  • 25-10-2022

Given:

[tex]2x^3-5x^2-4x+3=0[/tex]

Required:

To check that 3 is a root of the given equation.

Explanation:

Substitute x = 3 in the L.H.S. of the given equation.

[tex]\begin{gathered} 2(3)^3-5(3)^2-4(3)+3 \\ =2(27)-5(9)-12+3 \\ =54-45-12+3 \\ =57-57 \\ =0 \end{gathered}[/tex]

This is the R.H.S.

Thus x=3 is a root of the given equatio.

Final Answer:

x= 3 is a root of the given equatio.

Answer Link

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