Question

Write the equation so that

a = 1: x2 +
-6
x
=
-13

Complete the square:

x2 – 6x +
=
–13 +

Answer 1

Answer:

x = 2i + 3 or -2i + 3

Step-by-step explanation:

Solving equation by completing the square:

     x² - 6x = -13

1.Divide the coefficient of x by 2.

           6 ÷ 2 = 3

2. Find the square of the result of step 1 and add it to both sides.

1. (3)² =  9

1. x² - 6x + 9 = -13 + 9
2. x² - 2*x * 3 + 3² = -4
3. (x - 3)²              = (2i)²            {i² = -1}
4. Take square root,
5.        x - 3     = ±2i
6. x -3 = 2i       or x - 3 = -2i
7.    x = 2i+3    ;        x = -2i + 3
8.