3xpower of 2-6x plus 9

Answer 1

If the question is to factor the problem, 3x2 - 6x + 9, then it can not be factored.

If the question is to solve for x, assuming the equation is equal to zero, then use the quadratic formula with,

a= 3

b= -6

c= 9

Then, 6 +- sqrt[36 - 4(3)(9)], all divided by 2(3)

6 +- sqrt[36 - 108] divided by 6

[6 +- sqrt(-72)] / 6

To reduce a negative square root, first pull out the negative one by using i, then find the perfect square in 72, which is 36, so the equation becomes:

6+- 6isqrt(2) / 6

Reduce the fraction and cancel the sixes

1 + i sqrt(2) AND 1 - i sqrt(2)