What does the discriminat tell us about our zeros of a equation

The video tutorial discusses the concept of the discriminant in quadratic equations, explaining its formula and significance. It covers different scenarios: when the discriminant is zero, positive and a square number, positive and not a square number, and negative. Each scenario is linked to the nature of the roots of the quadratic equation, such as real, rational, irrational, or complex roots.

What is the formula for the discriminant in a quadratic equation?

• B^2 + 4AC

• B^2 - 4AC

• B^2 - 2AC

• 2B - 4AC

What does it mean if the discriminant of a quadratic equation is zero?

• The equation has complex solutions.

• The equation has one real solution.

• The equation has two real solutions.

• The equation has no real solutions.

If the discriminant is a positive square number, what type of roots does the quadratic equation have?

• Two real irrational roots

• One real root

• Two complex roots

• Two real rational roots

What type of roots does a quadratic equation have if the discriminant is a positive non-square number?

• Two real rational roots

• Two real irrational roots

• Two complex roots

• One real root

Can irrational roots be graphed on a number line?

• No, they cannot be graphed.

• Yes, they are exact values.

• No, they are imaginary.

• Yes, but they are approximations.

What does it mean if the discriminant of a quadratic equation is less than zero?

• The equation has two complex roots.

• The equation has two real rational roots.

• The equation has one real root.

• The equation has two real irrational roots.

Which number system is used to express the roots when the discriminant is negative?

• Imaginary number system

• Real number system

• Rational number system

• Whole number system