imgabymartinez
imgabymartinez imgabymartinez
  • 23-03-2020
  • Mathematics
contestada

Identify the zeros of the function f(x) = 2x2 − 2x + 13 using the Quadratic Formula.

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shejladautovic
shejladautovic shejladautovic
  • 23-03-2020

Answer:

[tex]x_1= \frac{1+3\sqrt{3}}{2}[/tex]

[tex]x_2= \frac{1-3\sqrt{3}}{2}[/tex]

Step-by-step explanation:

We have formula for solution of quadric equation:

[tex]x_{1,2}=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

In our equation b=-2, a=2 and c=13, so we have:

[tex]x_{1,2}=\frac{2+-\sqrt{4+104}}{4}[/tex]

[tex]x_{1,2}=\frac{2+-6\sqrt{3}}{4}[/tex]

[tex]x_1= \frac{1+3\sqrt{3}}{2}[/tex]

[tex]x_2= \frac{1-3\sqrt{3}}{2}[/tex]

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