Question

Is it true that discriminant of equation of curve will be zero when curve lies on x axis?

Answer 1

Suppose a quadratic equation has been given where the a value (ax^2 + bx + c) is a positive and it has been said that the graph of the equation lies above the x-axis- what is the discriminant?

For example- 2x^2 + kx - 5 = y; the graph lies above the x-axis- find the possible values of k. I know how to solve it, just not sure what discriminant to take.

In the same sense, if the a value is a negative, and the graph is said to be lying above the x axis, is the discriminant > 0 ?

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