Mathematics

Quadratic Equations

Grade 9 · Middle School

Answer every question first, then press Finish to see your score and explanations.

Question 1 of 20Easy
The roots of $x^{2} - 5 x + 6 = 0$ are ...
Question 2 of 20Easy
The factors of $x^{2} + 7 x + 12$ are ...
Question 3 of 20Easy
The solutions of $x^{2} - 9 = 0$ are ...
Question 4 of 20Easy
The roots of $x^{2} + 2 x = 0$ are ...
Question 5 of 20Easy
The discriminant of $x^{2} - 4 x + 4 = 0$ is ...
Question 6 of 20Easy
$x = 4$ is a root of the equation ...
Question 7 of 20Medium
The roots of $x^{2} + x - 6 = 0$ are ...
Question 8 of 20Medium
The sum of the roots of $2 x^{2} - 6 x + 4 = 0$ is ...
Question 9 of 20Medium
The product of the roots of $x^{2} - 7 x + 10 = 0$ is ...
Question 10 of 20Medium
By completing the square, the roots of $x^{2} - 6 x + 5 = 0$ are ...
Question 11 of 20Medium
Using the quadratic formula, the roots of $x^{2} - 2 x - 1 = 0$ are ...
Question 12 of 20Medium
The nature of the roots of $x^{2} - 3 x + 5 = 0$ is ...
Question 13 of 20Medium
The quadratic equation whose roots are 2 and $- 5$ is ...
Question 14 of 20Medium
The roots of $2 x^{2} - 5 x - 3 = 0$ are ...
Question 15 of 20Hard
The equation $x^{2} + (k - 1) x + 4 = 0$ has two equal real roots. The value of $k$ is ...
Question 16 of 20Hard
The length of a rectangle is 3 cm more than its width. If its area is 40 cm $^{2}$ , its perimeter is ...
Question 17 of 20Hard
If $x_{1}$ and $x_{2}$ are the roots of $x^{2} - 4 x + 1 = 0$ , the value of $x_{1}^{2} + x_{2}^{2}$ is ...
Question 18 of 20Hard
The equation $x^{2} - 6 x + m = 0$ has two equal real roots. The value of $m$ is ...
Question 19 of 20Hard
The square of a positive number plus the number itself equals 42. The number is ...
Question 20 of 20Hard
The roots of $(2 x - 1)^{2} = (x + 4)^{2}$ are ...

0/20 answered