Question

Find, a, b,
a+ b=c
ab =c
a,b are distinct.
Please, help

Answer 1

so, since you only have two equations, but thrr unknowns, you cannot actually find a and b

Answer 2

but, we can find them in terms of each other. Is there any information missing?

Answer 3

Nope, nothing else. Just that.

Answer 4

You sure, cause there is an infinite solution set?

Answer 5

ok, I need just one pair, give me, please

Answer 6

pick any three numbers that make it work. there are infinite possibilities

Answer 7

set c to something and solve the system

Answer 8

I did, it gives me a fraction, irrational but intgers

Answer 9

that's still an answer given the information you are. You can only find a or b in terms of the other.

Answer 10

wonder why can't we solve it when we have 2 equations and 2 unknowns. If a, b are the roots of a quadratic equation, then the quadratic is Ax^2+ Bx + C = 0

Answer 11

you have 3 unknowns

Answer 12

we don't know a,b or c

Answer 13

nope, a+b = -B/2A and ab= C/A that gives us -B/2 = C

Answer 14

or -B = 2C, hence the quadratic becomes Ax^2 - 2Cx + C =0 with a, b are roots

Answer 15

since a, b are distinct, the discriminant must be > 0

Answer 16

but I don't know how to go further. brb

Answer 17

no no no

Answer 18

you have 3 unknowns and 2 equations. That is not how this works