Quadratic Equations

The product of two consecutive even integers is 48. Find the integers.

If x = 2 is a root of kx^2 + 2x - 3 = 0, find k.

What is the value of k for which the equation 4x^2 - 12x + k = 0 has equal roots?

If α, β are roots of x^2 - 5x + 6 = 0, find α^3 + β^3.

The discriminant of 3x^2 + 2x - 1 = 0 is:

If roots of ax^2 + bx + c = 0 are real, then b^2 - 4ac is:

Solve: x^2 + 6x + 5 = 0.

The sum of roots of 5x^2 - 3 = 0 is:

If roots of x^2 - kx + 4 = 0 are equal, find k.

If sum of roots is 0 and product of roots is -4, the equation is:

Roots of x^2 + 5x + 6 = 0 are α, β. Find α^2 + β^2.

If discriminant is 25, the roots are:

The vertex of y = x^2 - 4x + 5 is:

For what k does x^2 - kx + 1 = 0 have no real roots?

If the sum of roots is 7 and product of roots is 10, the equation is:

Find 'p' such that roots of 2x^2 + px + 4 = 0 are in ratio 1:2.

The discriminant of x^2 - 2x + 1 = 0 is:

The product of roots of 10x^2 - 10x + 1 = 0 is:

Solve: x^2 + 4x = 0.

If x^2 + kx + 12 = 0 and one root is 4, find k.