Question

(x + 3)2 − 11 = (3x + 1)·(3x − 1)

Answer 1

,

Explicación paso a paso:

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Answer 2

Respuesta:

[tex]S=\{\frac{1}{4},\frac{1}{2}\}[/tex]

Explicación paso a paso:

(x + 3)² − 11 = (3x + 1)·(3x − 1)

x² + 6x + 9 - 11 = (3x)² - 1²

x² + 6x + 9 - 11 = 9x² -1

x² + 6x + 9 - 11 - 9x² + 1 = 0

-8x² + 6x - 1 = 0

8x² - 6x + 1 = 0

Δ = b² - 4ac

Δ = (-6)² - 4.8.1

Δ = 36 - 32

Δ = 4

[tex]x=\frac{-(-6)\pm\sqrt{4} }{2.8}\\\\x=\frac{6\pm2}{16} \\\\x=\frac{8}{16}=\frac{1}{2}\\o\\x=\frac{4}{16}=\frac{1}{4}[/tex]