Quiz

Year 2: Quadratic equations

10 questions with solutions for year 2: incomplete and complete quadratic equations, the discriminant and the kind of roots, Vieta’s formulas, applications, rational equations.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. x² − 49 = 0. The positive solution is:Enter a number only

2. x² − 5x + 6 = 0. The larger solution is:Enter a number only

3. x² + 4x + 4 = 0. The solution is:Enter a number only

4. The discriminant of x² + 3x − 4 = 0 is:Enter a number only

5. If D < 0, the quadratic equation has:

A. two different real roots

B. one double real root

C. two complex conjugate roots

D. infinitely many solutions

6. For x² − 7x + 10 = 0, what is x₁ + x₂?Enter a number only

7. For 2x² − 8x + 6 = 0, what is x₁ · x₂?Enter a number only

8. Which quadratic equation has solutions 2 and −3?

A. x² − x − 6 = 0

B. x² + 5x + 6 = 0

C. x² − 5x − 6 = 0

D. x² + x − 6 = 0

9. Two consecutive natural numbers multiply to 56. What is the smaller one?Enter a number only

10. 1/x + 1/2 = 3/4. x = ?Enter a number only