zaid1008 zaid1008
  • 13-02-2019
  • Mathematics
contestada


[tex] \frac{ - 3}{3x - 4} = \frac{x}{9x + 10} [/tex]
solve the following quadratic equation​

Respuesta :

Ashraf82
Ashraf82 Ashraf82
  • 13-02-2019

Answer:

[tex]x=\frac{-5}{3}\\x=-6[/tex]

Step-by-step explanation:

[tex]\frac{-3}{3x-4} =\frac{x}{9x+10} \\x(3x-4)=-3(9x+10)\\3x^{2}-4x=-27x-30\\ 3x^{2} -4x+27x+30=0\\3x^{2} +23x+30=0\\(3x+5)(x+6)=0\\3x+5=03x=-5\\x=\frac{-5}{3}\\ x+6=0\\x=-6[/tex]

then the solution of the quadratic is {-5/3 , -6}

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