peacelovemadi04
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  • 06-07-2020
  • Mathematics
contestada

0 = 5x2 - 2x + 6
x= 1 +/- 3i/2
x=1 +/- (square root 11) /5
x=1 +/- i (square root 29) /5

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Space
Space Space
  • 06-07-2020

Answer:

Last option

Step-by-step explanation:

Since we can't factor out the quadratic, we need to use quadratic formula to solve this: [tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}[/tex]

a = 5

b = -2

c = 6

[tex]x = \frac{2 +/- \sqrt{(-2)^2 - 4(5)(6)} }{2(5)}[/tex]

[tex]x = \frac{2 +/- \sqrt{4 - 120} }{10}[/tex]

[tex]x = \frac{2 +/- \sqrt{-116} }{10}[/tex]

[tex]x = \frac{2 +/- 2i\sqrt{29} }{10}[/tex]

[tex]x = \frac{1 +/- i\sqrt{29} }{5}[/tex]

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