Question

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

Answer 1

x= 4.3125

Explanation:

Answer 2

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

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.