answersLogoWhite

0

The best way to factor this is to use the quadratic equation.

Using an equation of the form:

ax2 + bx + c = 0

You use the quadratic formula like this:

x = [-b +(or -) sqrt(b2-4ac)]/2a

For your problem, a = 2, b = -6, and c = 9. Therefore:

x = [6 +(or -) sqrt(36 - 4(2)(9))]/4 = [6 +(or -) sqrt(36-72)]/4

= [6 +(or -) sqrt(-36)]/4 = (6 +(or -)6i)/4 = 3/2 +(or -)3i/2

Therefore the factorization is (x - 3/2 - 3i/2)(x - 3/2 + 3i/2).

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

BeauBeau
You're doing better than you think!
Chat with Beau
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa

Add your answer:

Earn +20 pts
Q: How do you factor and equation 2X2-6X plus 9?
Write your answer...
Submit
Still have questions?
magnify glass
imp