Question

Solve 9x2 + 6 = 12x

1. 1 plus or minus i square root 10
2. the quantity of 2 plus or minus i square root 10 all over 3
3. the quantity of 2 plus or minus i square root 2 all over 3
4. 1 plus or minus i square root 2

Answer 1

Explanation:

9x² + 6 = 12x

3x² + 2 = 4x

3x² − 4x + 2 = 0

Use quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)

x = [ 4 ± √(16 − 24) ] / 6

x = [ 4 ± √(-8) ] / 6

x = (4 ± 2i√2) / 6

x = (2 ± i√2) / 3