Decide if the statement is always, sometimes, or never true. A quadratic equation has two solutions.
A. always
B. sometimes
C. never

Question

Decide if the statement is always, sometimes, or never true. A quadratic equation has two solutions.
	A.	always
	B.	sometimes
	C.	never

anonymous · Answer

depends on what you mean by $2$

anonymous · Answer

Thats the question i got i don't  understand the questions so i came here :(

anonymous · Answer

counting multiplicity it always has two
if you mean two real solutions, then no
it could have no real solutions, one real solution or two real solutions

anonymous · Answer

This is dependent on the value of the discriminant; i.e. the term that appears in the square root of the quadratic formula.  If $ax^2+bx+c$ is our quadratic function, then the discriminant is defined as $\Delta = b^2-4ac$.  Now, we note that if $\Delta >0$, there's two (unique) solutions, if $\Delta = 0$, there's one (repeated) solution, and if $\Delta <0$ there are two imaginary (non real) solutions (i.e. no real solutions).

anonymous · Answer

nice $\large \Delta$ !!

anonymous · Answer

x^2=1, x = -1, +1
x^2 = -1, x =  i , -i

yes, sometimes real sometimes imaginary

anonymous · Answer

So that means its B sometimes because depending on the number

anonymous · Answer

i am willing to be that you math teacher wants "sometimes" 
wouldn't bet more than $7 though

anonymous · Answer

Yes; the moral here is that any quadratic can have at most two solutions.

anonymous · Answer

lol i don't have a teacher my computer is teaching me lol