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Solutions of Quadratic Equations — Easy set 1

10 easy questions on Solutions of Quadratic Equations for CBSE Grade 10 Mathematics. Preview stems and options, then log in to practice one question at a time and earn XP.

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

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

2. What is the discriminant of the quadratic equation 3x^2 + 6x + 2?

3. Which of the following indicates that a quadratic equation has two distinct real roots?

Discriminant = 0
Discriminant < 0
Discriminant > 0
Discriminant = 1

4. What are the roots of the equation x^2 + 5x + 6 = 0?

1 and 6
-2 and -3
-1 and -6
-2 and -3

5. What is the vertex form of a quadratic equation?

y = a(x - h)^2 + k
y = ax^2 + bx + c
y = a(x + h)^2 - k
y = ax^2 - bx + c

6. Which method can be used to find the roots of the quadratic equation x^2 + 4x + 4 = 0?

Factoring
Graphing
Completing the square
All of the above

7. What is the nature of the roots for the equation 2x^2 + 3x + 5 = 0?

Two distinct real roots
One real root
Two complex roots
No roots

8. If a quadratic equation has roots 3 and -1, what is the equation in standard form?

x^2 + 2x - 3 = 0
x^2 - 2x - 3 = 0
x^2 + 4x - 3 = 0
x^2 - 4x + 3 = 0

9. What are the solutions to the quadratic equation x² - 5x + 6 = 0?

x = 2 and x = 3
x = -2 and x = -3
x = 1 and x = 6
x = 0 and x = 6

10. Which of the following describes the nature of the roots of the equation x² + 4x + 5 = 0?

Two distinct real roots
One real root
Two complex roots
No roots