Algebra

A quadratic equation has at most how many real roots?

The discriminant of x^2 + 4x + 4 = 0 is:

Solve for x: x^2 - 16 = 0.

If b^2 - 4ac < 0, the roots of the equation are:

Which of the following is NOT a quadratic equation?

In the equation x^2 - kx + 4 = 0, if the sum of roots is 5, find k.

The roots of the equation x^2 - 7x + 12 = 0 are:

What is the coefficient 'c' in the equation 4x^2 - 3x = 0?

If one root of x^2 - 5x + k = 0 is 2, find k.

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

If the roots of ax^2 + bx + c = 0 are reciprocal of each other, then:

The value of k for which x^2 - 4x + k = 0 has equal roots is:

What is the vertex of the parabola y = x^2 - 6x + 9?

Which condition makes the roots of ax^2 + bx + c = 0 real and distinct?

If the sum and product of roots are 5 and 6 respectively, the equation is:

Factorize x^2 - x - 20.

If x = 1 is a root of x^2 + mx - 5 = 0, find m.

The nature of roots of x^2 + x + 1 = 0 is:

For what value of k are the roots of kx^2 + 4x + 1 = 0 real?

If one root is 2 + sqrt(3), then the other root of a quadratic equation with rational coefficients is: