Quadratic Equations Mock Tests

The roots of the quadratic equation x² − 7x + 12 = 0 are:

The number of distinct real roots of the equation x² + 4x + 8 = 0 is

The roots of the equation x² - 5x + 6 = 0 are:

If α and β are the roots of the equation x² − 5x + 6 = 0, then the value of α² + β² is:

If α and β are the roots of x² - 5x + 6 = 0, then α² + β² equals:

If 2 is a root of the equation 3x² - 2kx + 2k = 0, then the value of k is:

One root of the quadratic equation x² − 6x + k = 0 is 3. What is the value of k?

A rectangular garden has a perimeter of 60 m and an area of 200 m². If the length is twice the breadth, find the length of the garden.