Mathematics Questions

Solve for x: √(3x^2 + 6) = 9.

Find p if roots of 3x^2 + px + 3 = 0 are real and distinct.

If α, β are roots of x^2 - x + 1 = 0, then α^2024 + β^2024 is:

The roots of ax^2 + bx + c = 0 are rational if D is:

The sum of the reciprocals of the roots of 4x^2 + 3x + 7 = 0 is:

If α, β are roots of x^2 - 2x + 4 = 0, find α^3 + β^3.

For what value of k will the equation (k+1)x^2 - 2(k-1)x + 1 = 0 have real roots?

What is the standard form of a quadratic equation?

For the equation x^2 - 5x + 6 = 0, what are the roots?

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

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

Find the sum of the roots of the equation 2x^2 - 8x + 5 = 0.

Find the product of the roots of the equation 3x^2 + 7x - 9 = 0.

What is the quadratic formula used to solve ax^2 + bx + c = 0?

If roots are 2 and -3, the quadratic equation is:

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?