Exercises on the discriminant

1: --[reporting2] Doing 'do snippet' - should be imbed--

a) Write down the definition of the discriminant of a quadratic equation.
b) calculate the discriminant of the quadratic
f(x) = -2x2 +3x - 4

What does this tell you about the solutions to the equation f(x)=0?

2: --[reporting2] Doing 'do snippet' - should be imbed--

The equation
2x2 + 8x + k = 0
has precisely one root.

By considering the discriminant, determine the value of k.