🧠 Quadratic Equations Quiz

🧠 Quiz: Quadratic Equations

1. What is the discriminant of a quadratic equation?

\( b^2 - 4ac \) \( b^2 + 4ac \) \( 2a + b \) \( a^2 - b^2 \)

2. If the discriminant is not a perfect square, the roots are:

Rational Irrational Complex Equal

3. Solve: \( x^2 = 7 \)

\( x = \pm 7 \) \( x = \pm \sqrt{7} \) \( x = \pm 3.5 \) \( x = \pm 2.6 \)

4. Which of the following is an irrational number?

4 \( \sqrt{2} \) 0 -3

5. What is the quadratic formula?

\( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) \( x = \frac{b \pm \sqrt{b^2 - 4ac}}{2a} \) \( x = \frac{-a \pm \sqrt{b^2 - 4ac}}{2b} \) \( x = \frac{-b \pm \sqrt{4ac - b^2}}{2a} \)

6. Solve using the quadratic formula: \( x^2 - 2x - 1 = 0 \)

\( x = 1 \pm \sqrt{2} \) \( x = 2 \pm \sqrt{1} \) \( x = -1 \pm \sqrt{2} \) \( x = 1 \pm \sqrt{3} \)

7. Which equation has irrational roots?

\( x^2 - 4x + 4 = 0 \) \( x^2 - 2x + 1 = 0 \) \( x^2 - 2 = 0 \) \( x^2 + 4x + 4 = 0 \)

8. Approximate \( \sqrt{3} \) to three decimal places:

1.414 1.732 2 1.618

9. What is the value of the discriminant for \( x^2 + 4x + 5 = 0 \)?

4 0 -4 -6

10. Solve: \( x^2 - 5 = 0 \)

\( x = \pm \sqrt{5} \) \( x = \pm 5 \) \( x = \pm 2.5 \) \( x = \pm 1.5 \)