Quadratic Equations

Divide 12 into two parts such that their product is 35.

The discriminant of x^2 + 5x + 7 = 0 is:

A quadratic equation whose roots are -1 and -2 is:

The roots of the equation 3x^2 - 12x = 0 are:

Which of the following equations has imaginary roots?

If α and β are roots of 2x^2 - 4x + 1 = 0, find α + β + αβ.

The values of x satisfying sqrt(3x + 1) = 4 are:

If the roots of (a^2+b^2)x^2 - 2b(a+c)x + (b^2+c^2) = 0 are equal, then a, b, c are in:

Solve for x: x^2 + 2√2x + 2 = 0.

If α, β are roots of ax^2 + bx + c = 0, what is the equation with roots 1/α, 1/β?

The sum of the roots of 0.2x^2 - 0.4x + 0.1 = 0 is:

The roots of the equation x^2 - 2x + 1 = 0 are:

What is the product of roots of (x-3)(x-4) = 0?

If x^2 - 5x + 6 = 0 and x^2 - mx + 3 = 0 have a common root 3, find m.

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

If the sum of roots of 2x^2 + kx + 8 = 0 is 0, then k is:

The roots of 2x^2 - 6x + 3 = 0 are:

Solve: x^2 = 5x.

The roots of x^2 + px + q = 0 are equal in magnitude but opposite in sign if:

Find k if the product of roots of x^2 - 3x + k = 0 is 2.