x² – 3x – 3 = 0
First, add 3 to both sides
x² – 3x – 3 (+3)= 0 (+3)
x² – 3x = 3
Solve for a. 2ax = -3x; a = -3/2
x² - 3x + (-3/2)² = 3 + (-3/2)²
Simplify
x² - 3x + (-3/2)² = 21/4
Complete the square
(3 - 3/2)² = 21/4
solve:
x - 3/2 = √(21/4); x = (√21 + 3)/2
x - 3/2 = -√(21/4); x = ((-√21) + 3)/2
Answers:
x = ((√21) + 3)/2 & x = ((-√21) + 3)/2
hope this helps
