Solve the following equation using the quadratic formula. x^2 - 8x + 97 = 0
А. x = 8 + 18i and x = 8 – 18i
B. x= 8 + 18i and x = 8 - 18i
C. x= 4 + 9i and x = 4 - 9i
D. x= 4 + 9i and x= -4 - 9i

x = 4   ±9i

Step-by-step explanation:

x^2 - 8x + 97 = 0

Complete the square by subtracting 97 from each side

x^2 - 8x =- 97

Take the coefficient of x

-8 and divide by 2

-8/2 = -4

Then square it

(-4)^2 = 16

Add it to each side

x^2 - 8x + 16 = -97+16

(x-4)^2 = -81

Take the square root of each side

x-4 = ±sqrt(-81)

x-4 = ±9i

Add 4 to each side

x = 4   ±9i

C. x= 4 + 9i or x = 4 - 9i

Step-by-step explanation:

Use the quadratic formula.

Substitute a = 1, b = -8, and c = 97.

Evaluate.