Question

Solve the equation using the quadratic formula.x² - 12x + 85 = 0Select one:O A. {6 ± 7i}O B. {12 + 14i}O C. {13, -1}O D. {-6 ± 7i}

Answer 1

the sWe have the next quadratic formula:

`x²-12x+85=0`

Use the form x²+bx+c

Where:

a=1

b=-12

c=85

Then,

`\begin{gathered} x=\frac{-(-12)\pm√((-12)^2-4(1)(85))^{}}{2(1)} \\ \end{gathered}`
`x=(12\pm14i)/(2)`
`\begin{gathered} x=(2(6+7i))/(2) \\ x=6+7i \end{gathered}`

Hence, the correct answer is option A.