Use the quadratic formula to solve the following. Leave irrational roots in the simplest radical form.

1. 3x^2 - 4x - 5 = 0

2. 2x^2 - 3x + 1 = 0

3. In the equation ax^2 + bx + c = 0, the value of b^2 - 4ac is called the _______________ of the equadratic equation. What does this value tell you about the real roots of the equation?

Without drawing a graph of the given equation, determine:
(a)how many x-intercepts the parabola has
(b)whether its vertex lies above or below or on the x-axis.

I am completely lost with these problems. Can you please explain them to me. I'd be so greatful. Thanks!

2. Originally Posted by poeticprincess

3. In the equation ax^2 + bx + c = 0, the value of b^2 - 4ac is called the _______________ of the equadratic equation. What does this value tell you about the real roots of the equation?
For a!=0 this is called the "discrimant" and for positive values there are two real (non-imaginary) solutions. For zero it has only one real solution. For negative values it has two complex (imaginary) solutions.