SOLUTION: The line y = mx+3 and the curve x^2+c intersect only at one point. Where " c" and "m" are constants. A. Find the possible set of values for "c" & " m" B. find the coordinates

Question 881469: The line y = mx+3 and the curve x^2+c intersect only at one point. Where " c" and "m" are constants.
A. Find the possible set of values for "c" & " m"
B. find the coordinates of the point of intersection using the values obtained in A.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Set them equal to each other.

Since they only intersect at one point, the discriminant equals zero.

If order for to be real, , or
.
.
.
When ,
Then the line becomes, and the parabola becomes,

.
.

.
.
When ,
Then the line becomes, and the parabola becomes,
.

.
.

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