9x^2 - 21x + 10 = 0
i've factored it out to: (3x-5)(3x-2) but how do i know which answer choice it correlates too? please give explanation for why please. thanks for the help.
a. -2/3, -5/3 b. 2/3, -5/3 c. -2/3, 5/3 d. 2/3, 5/3
2006-08-30 13:07:33 · 4 answers · asked by shih rips 6 in Science & Mathematics ➔ Mathematics
ok well, from this point your job is to figure out what you could put in for x to make (3x-5)(3x-2)=0 so so make it easier, what you're really trying to do, since you will be multiplying them, is figure out what would make (3x-5)=0 and what would make (3x-2)=0. The work involved from there is easy.
3x-5=0
3x=5
x=5/3 therefor that is one of your answers.
3x-2=0
3x=2
x=2/3 so that is also one of your answers, which just so happens to be choice D.
I hope this helped, and goodluck in math!
2006-08-30 13:38:10 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Now that you have factored it out.
(3x-5)(3x-2)=0 Set it equal to 0 (like this)
than set each one to 0
(3x-5) = 0 and (3x-2) = 0
Now work each one out like this:
3x-5=0
3x-5+5=0+5 Add 5 to each side
3x=5
3x/3=5/3 Divde by 3
x=5/3
Now the next one
3x-2=0
3x-2+2=0+2 Add 2 to each side
3x=2
3x/3=2/3 Divide each side by 3
x=2/3
so x=5/3, 2/3
2006-08-30 20:15:28 · answer #2 · answered by Angelcupcake 3 · 1⤊ 0⤋
Well, you have two equations : 3x - 5 = 0 and 3x - 2 = 0
3x -5=0 becomes 3x = 5, so x = 5/3
3x-2=0 becomes 3x=2, so x=2/3
ANSWER : D
2006-08-30 20:10:07 · answer #3 · answered by rahidz2003 6 · 0⤊ 0⤋
3x - 5 = 0
3x = 5
x = (5/3)
3x - 2 = 0
3x = 2
x = (2/3)
ANS : D.) (5/3),(2/3)
2006-08-30 23:48:06 · answer #4 · answered by Sherman81 6 · 0⤊ 0⤋