Question

consider the graph with equation y = f(x) = (x-3)^2 (x+1)

how many solutions will there be to f(x) = 5?
explain "without" using calculator

Answer 1

@terenzreignz

Answer 2

How many solutions? Only one, this being a function of x and all :D

Answer 3

how do u know that its 1 ?

Answer 4

Oh wait, never mind... recalculating :D

Answer 5

there should be at most 3.

Answer 6

at least 1.

Answer 7

ok so can u kindly explain how do u know its 3 without the use of calculator?

Answer 8

Well, it's a polynomial of degree 3. So it has three complex roots. That simple.

Answer 9

i dont get it

Answer 10

can u be more pacific pls

Answer 11

Sorry if this is all vague to you... my mind's not at optimum working conditions :)

Polynomial of degree 3, meaning, the highest exponent of x is 3.

so... it is sure to have three complex roots.

Answer 12

oh yh i got it thankx