Quadratic Equations Mock Tests

If x² − 16 = 0, what are the solutions?

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

The product of two consecutive positive integers is 306. What is the larger integer?

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.

The roots of the equation x² - 8x + 16 = 0 are:

The nature of the roots of the quadratic equation 2x² - 4x + 3 = 0 is:

The discriminant of the quadratic equation 3x² − 4x − 7 = 0 is:

A ball is thrown upward from the top of a 100-foot building. Its height h in feet after t seconds is given by h(t) = −16t² + 64t + 100. What is the maximum height the ball reaches?