factor: 3xsquared - 54x = 243

Question

anonymous · Answer

wow

anonymous · Answer

well, you know its 3x and x

anonymous · Answer

so what multiplies by 3 and adds x to get -54?

anonymous · Answer

x=9(1-sqrt2)
x=9)1+sqrt2)

anonymous · Answer

giggles they dont want to solve it, they want to factor it.

anonymous · Answer

(3x)^2(sqrt-54x)^2=243^2
9x^2-54=59049
x^2-54x-6561=0
use quadratic equation to find x

hero · Answer

That's not factoring, but okay

anonymous · Answer

I don't think it'll factor into anything that looks nice.

anonymous · Answer

I agree with TBates. Usually C is not as large as 243.

hero · Answer

Any quadratic is factorable. I didn't say anything about it looking nice though

anonymous · Answer

K we understand that Hero we are just commenting about the extensiveness of the quadratic. Thats all.

hero · Answer

I factored it and got: 

$$(3x - 27\sqrt{2} - 27) (x + 9\sqrt{2} - 9)$$

anonymous · Answer

x=-31.38 or x=139.38

hero · Answer

If you want to know how I got that, just ask

anonymous · Answer

how did you get that?

hero · Answer

lol

hero · Answer

I factored by grouping

hero · Answer

Okay, I'll show you what I did...

anonymous · Answer

why thank you hero.

hero · Answer

Okay, so this is the formula I used: 
|dw:1315157315859:dw|

You input the coefficients of a, b, and c into the formula and solve for d. (You probably didn't know a "d" existed...but it does..)