gingereverstoone1
gingereverstoone1 gingereverstoone1
  • 20-08-2020
  • Mathematics
contestada

consider 8x^2-48x=-104 factor the trinomial and simplify

(x+_)^2=_​

Respuesta :

mirai123
mirai123 mirai123
  • 20-08-2020

Answer:

[tex](x-3-2i)(x-3+2i)[/tex]

Steps:

[tex]8x^2-48x=-104[/tex]

[tex]8x^2-48x+104=0[/tex]

Divide both sides by 8

[tex]x^2-6x+13=0[/tex]

But we can't factor it.

Using the Quadratic Formula to calculate the roots:

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-(-48)\pm \sqrt{(-48)^2-4\cdot 8\cdot 104}}{2\cdot 8}$[/tex]

[tex]$x=\frac{48\pm32i}{16}$[/tex]

[tex]x_1=3+2i\\x_2=3-2i[/tex]

The answer might be

[tex](x-(3+2i))(x-(3-2i))[/tex]

[tex](x-3-2i)(x-3+2i)[/tex]

Answer Link

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