Discriminant of a Quadratic Equation Test

Discriminant of the quadratic polynomial \(ax^2 + bx + c\) is \(D=b^2-4ac\).

The discriminant of quadratic equation \(x^2-3x+2=0\) is:

The discriminant of quadratic equation \(2x^2-3=0\) is:

The discriminant of quadratic equation \(x^2=0\) is:

If the discriminant of an equation is \(> 0\), which of the following is true

If the discriminant is a perfect square the roots are rational.

How many and what type of solutions would an equation have if the discriminant is 1234?

State the nature of the roots of the following quadratic equations \(2x^2-5x+4=0\)

If the value of a discriminant is a perfect square, then the quadratic polynomial can be factored.

If the value of a discriminant is zero, then the quadratic polynomial is a perfect square.

Determine \(k\) so that \(x^2-10x+k=0\) has two equal real solutions.

Determine \(k\) so that \(kx^2-2kx+1=0\) has two equal real solutions.