solve the equation x^2-8x+29=6

Question

Enter the exact numbers in order for increasing  imaginary parts.use 

i to represent the imaginary part

Answer 1

Hi Katherine, to solve this equation, use the quadratic formula.

 

x² - 8x + 29 = 6

 

Subtract 6 from both sides:

 

x² - 8x + 23 = 0

 

Using the quadratic formula:

 

x = (8 ± √ ((-8)² - (4 * 23)) / 2

 

x = (8 ± √ (64 - 92)) / 2

 

x = (8 ± √ (-28)) / 2

 

x = (8 ± √ (4 * -7)) / 2

 

x = (8 ± 2√ (-7)) / 2

 

x = 4 ± √ (7i)

 

Answer:

 

x = 4 + √ (7i) and x = 4 - √ (7i)

 

Questions?