Mastering Quadratic Equations

What is the solution to the equation x^2 - 5x + 6 = 0?

• x = 5

• x = 1

• x = 4

• x = 2, x = 3

Solve for x: 2x^2 + 3x - 5 = 0.

• -1, 5

• 0, 2.5

• 1, -2.5

• 3, -1.5

Find the roots of the equation x^2 + 4x + 4 = 0.

• x = -2

• x = 0

• x = -4

• x = 2

What is the discriminant of the equation 3x^2 - 12x + 9?

• 36

• 12

• -36

• 0

If x^2 - 2x - 8 = 0, what are the values of x?

• x = 0, x = 8

• x = 2, x = -4

• x = 4, x = -2

• x = 3, x = -3

Determine the vertex of the parabola represented by y = x^2 - 6x + 8.

• (4, 2)

• (2, 0)

• (3, -1)

• (1, 1)

Solve the equation x^2 + 2x = 15.

• x = 2, x = 7

• x = -3, x = 5

• x = -5, x = 3

• x = 0, x = 15

What are the x-intercepts of the function f(x) = x^2 - 9?

• x = 2

• x = 3, x = -3

• x = 0

• x = -2

If the roots of the equation x^2 + px + q = 0 are 3 and -2, what is the value of p?

• -1

• 0

• -5

• 1

Find the value of k if the equation x^2 + kx + 16 = 0 has one real solution.

• 4

• -4

• 16

• 8 or -8