Algebra

Nature of roots of x^2 + 2x + 3 = 0:

Find the equation whose roots are 1/2 and 1/3.

The discriminant of 4x^2 - 4x + 1 = 0 is:

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

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

Find 'k' for which the equation x^2 + 2(k+1)x + k^2 = 0 has equal roots.

What is the degree of a quadratic equation?

Which of the following represents the standard form of a quadratic equation?

Find the roots of the equation x^2 - 16 = 0.

What is the discriminant of the quadratic equation ax^2 + bx + c = 0?

If the discriminant of a quadratic equation is zero, the roots are:

What is the product of the roots of the equation x^2 - 5x + 6 = 0?

What is the sum of the roots of the equation 2x^2 - 8x + 5 = 0?

If x = 2 is a root of x^2 + kx - 6 = 0, find the value of k.

Identify the quadratic equation from the following:

What are the roots of (x-3)(x+5) = 0?

The quadratic formula to find roots of ax^2 + bx + c = 0 is:

If the discriminant D > 0 and is a perfect square, the roots are:

Find the value of k for which x^2 - 4x + k = 0 has equal roots.

Which term must be added to x^2 + 6x to make it a perfect square?