sophia4maria61 sophia4maria61
  • 13-09-2019
  • Mathematics
contestada

Solve for x.

0 = 7x² + x + 5



a x=−1±i139‾‾‾‾√14
b x=−1±i105‾‾‾‾√14
c x=−1±i34‾‾‾√14
d x=−1±i120‾‾‾‾√14

Respuesta :

BasketballEinstein
BasketballEinstein BasketballEinstein
  • 16-09-2019

Answer:

[tex]a \: \: x = \frac{ -1 ± i\sqrt{139}}{14} [/tex]

Explanation:

Since this is unfactorable, use the Quadratic Formula:

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

Now, take the information and input it:

[tex] -1 ± \frac{ \sqrt{1 - 4(7)(5)}}{2(7)} \\ \\ -1 ± \frac{ \sqrt{ -139}}{ 14} = \frac{-1 ± i\sqrt{139}}{14} [/tex]

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