burgerbiter2018 burgerbiter2018
  • 15-08-2020
  • Mathematics
contestada

Find all values of $x$ such that $3x^2 + 16x + 5=0$. If you find more than one value, then list your solutions, separated by commas.

Respuesta :

MathFreak01 MathFreak01
  • 15-08-2020

Answer:

x = {-5, -⅓}

Step-by-step explanation:

[tex]3 {x}^{2} + 16x + 5 = 0[/tex]

[tex]3 {x}^{2} + 15x + x + 5 = 0[/tex]

[tex]3x(x + 5) + 1(x + 5) = 0[/tex]

[tex](x + 5)(3x + 1) = 0[/tex]

[tex]x = - 5 \: or \: - \frac{1}{3} [/tex]

[tex]x = \{ - 5 \: , - \frac{1}{3} \}[/tex]

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