Quadratic equations medium

Quadratic Equations Quiz (Medium)

1. What is the general form of a quadratic equation?

a) ax^2 + bx + c = 0 b) ax^2 + bx = c c) ax + b = 0

2. What is the value of discriminant (b^2 - 4ac) for a quadratic equation with real and distinct solutions?

a) Positive b) Zero c) Negative

3. For a quadratic equation with real and equal solutions, what is the value of discriminant (b^2 - 4ac)?

a) Positive b) Zero c) Negative

4. What is the formula to find the sum of the roots of a quadratic equation ax^2 + bx + c = 0?

a) -b/a b) c/a c) -b/2a

5. What is the formula to find the product of the roots of a quadratic equation ax^2 + bx + c = 0?

a) c/a b) -c/a c) -b/a

6. If the discriminant (b^2 - 4ac) is zero, how many real solutions does the quadratic equation have?

a) 1 b) 2 c) 0

7. If the discriminant (b^2 - 4ac) is negative, how many real solutions does the quadratic equation have?

a) 1 b) 2 c) 0

8. If the discriminant (b^2 - 4ac) is positive, how many real solutions does the quadratic equation have?

a) 1 b) 2 c) 0

9. What are the types of solutions for a quadratic equation when the discriminant (b^2 - 4ac) is zero?

a) Two real and distinct solutions b) Two real and equal solutions c) Complex solutions

10. What are the types of solutions for a quadratic equation when the discriminant (b^2 - 4ac) is positive?

a) Two real and distinct solutions b) Two real and equal solutions c) Complex solutions