shawnaanne19 shawnaanne19
  • 14-02-2020
  • Mathematics
contestada

Use technology to solve for x. 3^x - 4= 6x - 7

Respuesta :

Ursus Ursus
  • 14-02-2020

Answer:

[tex]x=1,1[/tex]

Step-by-step explanation:

[tex]3x^2 - 4= 6x - 7[/tex]

For the given equation :

Making the coefficients of x to L.H.S

[tex]3x^2-6x-4+7[/tex] [tex]=0\\[/tex]

[tex]3x^2-6x+3=0[/tex]

Taking 3 as common from the above equation

[tex]x^2-2x+1=0[/tex]        

Splitting the equation to make factors

[tex]x^2-x-x+1=0[/tex]

Taking common from the equation:

[tex]x(x-1)-1(x-1)\\(x-1)(x-1)=0[/tex]

Equating 'x' to zero

[tex]x=1,1[/tex]

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