Question

Which of the following is a solution of x2 − 6x = –22?

Answer 1

Answer:

The solution of given equation are 3±√13i.

Step-by-step explanation:

We have given a quadratic equation.

x²-6x = -22

We have to find the solution of given equation.

We use method of completing square to solve this.

Adding (-3)² to both sides of given equation, we have

x²-6x+(-3)²  = -22+(-3)²

(x-3)² = -22+9

(x-3)² = -13

Taking square root to both sides of above equation, we have

x-3 = ±√-13

x-3 = ±√13i where i = √-1

x  = 3±√13i

Hence, the solution of given equation are 3±√13i.

Answer 2

Answer:

C) 3 - i√13

Step-by-step explanation:

x² - 6x = -22

x² - 6x + (-6/2)² = -22 + (-6/2)²

x² - 6x + 9 = -22 + 9

(x - 3)(x - 3) = -13

x - 3 = ± √-13

x - 3 = ± i√13

x = 3 ± i√13

x = 3 + i√13 & x = 3 - i√13