Question

a^2 - 5a - 14 = 0 how many rationals does this have

Answer 1

are you looking for the roots? i.e what makes this function zero?

Answer 2

yeah

Answer 3

do you remember howto factor?

Answer 4

no

Answer 5

doesnt it have 2 roots

Answer 6

You will see two roots in a polynomial equation such as this. Yes, there will be two rots. Can you find what they are?

What two numbers multiply to -14 and add to -5?

Can you think of one?

Answer 7

2

Answer 8

so will the answer be 2 rational roots or 2 complex roots

Answer 9

Lets try to solve for the two rational roots.

"What two numbers multiply to -14 and add to -5?"

Answer 10

2 can be multiply into them

Answer 11

no i think it only has one root

Answer 12

"What two numbers multiply to -14 and add to -5?"

-7 and 2.

(a-7)(a+2)=0

What two roots makes this function zero?

Answer 13

um 14 and 5 im not sure

Answer 14

why would it be 14 and 5. How did you come with that as the answer?

Answer 15

i just divide them by themselves but im confused

Answer 16

What value will make this function zero?

(a-7)

Answer 17

7

Answer 18

Yes, and what value makes this function zero?

(a+2)

Answer 19

-2

Answer 20

Yup, so the roots that make your equation (a^2 - 5a - 14 = 0) zero are 7 and -2
You have two rational roots to that function.

Answer 21

ok okay thanks