Mathematics Questions

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:

The roots of the equation (x-a)(x-b) = 0 are:

Sum of roots of the equation x^2 - 9 = 0 is:

If the discriminant is a perfect square, the roots are:

The equation x^2 + x - 1 = 0 has roots that are:

Find the value of p if the roots of 3x^2 - px + 3 = 0 are equal.