What are the solutions of this quadratic equation? x^2 = 16x - 65

Substitute the values of a and b to complete the solutions.
x = a + bi
x = a - bi

Answers:
x = 8 + i
x = 8 - i

I hope this helps.

x=4+7i and x=4-7i

Step-by-step explanation:

Rewrite the given quadratic equation by completing the square.

x^2-8x=-65

x^2-8x+16=-65+16

x^2-8x+16=-49

(x-4)^2=-49

Now, solve the equation by applying the square root property and isolating x.

(x-4)^2=-49

√(x-4)^2 = √-49

x-4=+7i

x=4+7i

So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.

answer:      

step-by-step explanation: