Question

I really want to know current practice on this:

Choose correct alternative. Eaquation x^2 - 14x +49 = 0 has 1) One solution 2) Two roots 3) A double root 4) One distinct real root 5) One root with multiplicity 2 6) Repeated roots 7) All of the above 8) None of the above.

http://openstudy.com/groups/mathematics#/groups/mathematics/updates/4e2e8baa0b8b3d38d3bb1a2e

Answer 1

6.......

Answer 2

Source?

Answer 3

define "eaquation" :)

Answer 4

id take the discriminate and determine the results; and you havent expressed it to be "real" roots tho

Answer 5

@amistre64

OK, so if we speak of a function or an equation or for that matter, a functional equation, it's different?

Answer 6

I was taught roots = degree (FTA) ie quadratic 2, cubic 3 etc.

Answer 7

it shouldnt matter if the unknowns are variables or functions .. at least thats what my gut says

Answer 8

real roots tend to be at most, the number of degrees

Answer 9

my gut says...fffoooooddddd.....actually that's translated. in the original language it is GRAABBBBBAABLLEEE

Answer 10

i wonder if there is a gut to english dictionary ....

Answer 11

it's entirely possible. if not we should make one. i bet there's a huge market for it.

Answer 12

also i'm with amistre on this one. the degree of the polynomial doesn't necessarily give the number of roots

Answer 13

FTA (fundamental theorem of algebra) says it does.

Answer 14

Any way, I am mainly concerned with the simple quadratic case ie 2 roots, doesn't matter if real or complex.

The question is, if the roots are repeated,how do you describe them?