Question

What is the discriminant if the point on the graph is (3,0) ??

Answer 1

do you mean the vertex is (3,0)?

Answer 2

yes

Answer 3

do you need exact number of discriminant? I can say only that is
\[D\geq0\]

Answer 4

if it's vertex then answer is D=0

Answer 5

if the vertex is (3,0) then the discriminant is 0

Answer 6

how do we know that?

Answer 7

what tomas said
means it is a perfect square i.e.
\[y=(x-3)^2\] perhaps

Answer 8

oh ok

Answer 9

if the vertex is on the x-axis, that means there is only one zero

Answer 10

if y=0 and it's vertex it means that quadratic equation would have only 1 solution, and when it has only 1 solution discriminant is 0

Answer 11

and quadratic formula tells you the zeros are
\[x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\] if this is only one number and not two, it means
\[b^2-4ac=0\]

Answer 12

Ok thankx guyz

Answer 13

@thomas did you figure out that pythgoras thing? because ten is not the hypotenuse of a primitive triple