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\sqrt{(-12)^2-4(1)(85)}^{}}{2(1)} \\ \end{gathered}$$x=\frac{12\pm14i}{2}$$\begin{gathered} x=\frac{2(6+7i)}{2} \\ x=6+7i \end{gathered}$

Hence, the correct answer is option A.