Question

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

Answer 1

`a \: \: x = ( -1 ± i√(139))/(14)`

Step-by-step explanation:

Since this is unfactorable, use the Quadratic Formula:

`x = -b ± \frac{ \sqrt{ {b}^(2) - 4ac}}{2a}`

Now, take the information and input it:

`-1 ± ( √(1 - 4(7)(5)))/(2(7)) \\ \\ -1 ± ( √( -139))/( 14) = (-1 ± i√(139))/(14)`

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