lihaochen161240 lihaochen161240
  • 16-07-2021
  • Mathematics
contestada

can someone please solve 3x^2+4x-7<13

Respuesta :

reidhardt99 reidhardt99
  • 16-07-2021

Answer:

[tex]-\frac{10}{3}<x<2\:[/tex]

Step-by-step explanation:

Rewrite in standard form: [tex]3x^2+4x-20<0[/tex]

Factor: [tex]\left(x-2\right)\left(3x+10\right)<0[/tex]

Solve individually for x:

[tex]x-2<0\\x<2[/tex]

[tex]3x+10<0\\3x<-10\\x<\frac{-10}{3}[/tex]

Combine:

[tex]-\frac{10}{3}<x<2\:[/tex]

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