Question

What does it mean when a question ask you to describe the nature of the equations roots? this is the equation that came with it : x^2-9x+14=0

Answer 1

Any ideas?

Answer 2

none

Answer 3

A solution or root of an equation is any value of the variable that turns an open sentence into a true statement. Correct?

Answer 4

yeah

Answer 5

The question ask for you to describe the nature of the equation's roots.

Answer 6

I know its two but is it two imaginary or real?

Answer 7

What are they, and what is special about them?

Answer 8

$$\Huge x^2-9x+14=0$$ $$\Huge (x-?)(x-?)=0$$

Answer 9

7,2

Answer 10

?

Answer 11

Yes.

Answer 12

so their two real?

Answer 13

Yes, they are two positive integers.

Answer 14

$$\Huge{\text{{1, 2, 3, 4,...}}}$$

Answer 15

i thought negatives could be real answers too?

Answer 16

Yes, they can but not this equation.

Answer 17

oh ok thanks

Answer 18

$$\Huge (x-7)(x-2)=0$$

Answer 19

" describe the nature of the equations roots "

Answer 20

A solution or root of an equation is any value of the variable that turns an open sentence into a true statement.

Answer 21

Is 0 = 0 a true statement?

Answer 22

so on 9x^2-24x+16=0 would it be negative or positive four?

Answer 23

$$\Huge 9x^2-24x+16=0 $$ $$\huge (3x)^2-2*12x +4^2=0 $$ $$\huge a^2-2ab+b^2=(a-b)^2$$

Answer 24

$$\Huge (3x-4)^2 = 0$$ Let 3x-4=0
x=4/3