Question

identify the solutions of 3x2 − 13x + 4 = 0

Answer 1

Do you know the quadratic formula?

Answer 2

Is the quadratic formula really needed here?

Answer 3

Why can't we just try to factor it?

Answer 4

Factoring works, but I like the quadratic formula since that works with any quadratic

Answer 5

and you don't need to guess and check

Answer 6

Factoring works too. I see what you mean about guess and check. I don't like it either.

Answer 7

Completing the square is another way to avoid guess and check

Answer 8

okay... so what do i do? lol

Answer 9

I've always viewed the quadratic formula as something you use when all other methods have failed.

Answer 10

Hint: Split the middle term to get:

3x^2 - 12x - 1x + 4 = 0

Then factor by grouping.

Answer 11

3x-1 and x-4?

Answer 12

that's correct, so

3x^2 − 13x + 4 = 0

factors to

(3x-1)(x-4) = 0

What's next?

Answer 13

umm.... i dont knoww

Answer 14

If

AB = 0

then either

A = 0 or B = 0

Answer 15

So if

(3x-1)(x-4) = 0

then

3x-1 = 0 or x-4 = 0

Answer 16

okayyy?

Answer 17

do you see how I got that?

Answer 18

Basically, if two numbers multiply to zero, then one of them has to be zero

Answer 19

yea.. but none of the answer choices is zero

Answer 20

that's not the final answer

Answer 21

What do you get when you solve 3x-1 = 0?

Answer 22

1 over 3

Answer 23

good, what about x-4 = 0?

Answer 24

4

Answer 25

so the solutions are x = 1/3 or x = 4

Answer 26

so the final answer is x=1/3 and x=4?

Answer 27

yes

Answer 28

thankss

Answer 29

np