erikadawn2001 erikadawn2001
  • 16-08-2020
  • Mathematics
contestada

6/x = 2x+4/5
Multiply each side by the common denominator to find the
quadratic equation equivalent to this equation.

Respuesta :

jimrgrant1 jimrgrant1
  • 16-08-2020

Answer:

5x² + 2x - 15 = 0

Step-by-step explanation:

Given

[tex]\frac{6}{x}[/tex] = 2x + [tex]\frac{4}{5}[/tex]

Multiply through by 5x ( common denominator )

30 = 10x² + 4x ( subtract 30 from both sides )

0 = 10x² + 4x - 30 ( divide through by 2 )

0 = 5x² + 2x - 15 , that is

5x² + 2x - 15 = 0

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