Quadratic Equations Challenge

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

• x = 0, x = 5

• x = 2, x = 3

• x = -2, x = -3

• x = 1, x = 4

If x^2 + 4x + 4 = 0, what is the value of x?

• -4

• 0

• -2

• 2

Which of the following is a factor of x^2 - 9?

• (x - 1)(x + 1)

• (x - 3)(x + 3)

• (x - 2)(x + 2)

• (x - 4)(x + 4)

What is the vertex of the parabola represented by y = x^2 - 6x + 8?

• (1, 1)

• (3, -1)

• (4, 2)

• (2, 0)

If the roots of the equation x^2 + bx + c = 0 are 3 and -2, what is the value of b?

• -1

• -5

• 1

• 0

What is the discriminant of the equation x^2 - 4x + 4 = 0?

• 2

• -4

• 0

• 8

If x^2 + 2x + 1 = 0, what is the repeated root?

• -1

• 1

• 0

• -2

Which equation represents a parabola that opens upwards?

• y = ax^2 - bx + c, where a < 0

• y = -ax^2 + bx + c, where a < 0

• y = ax^2 + bx + c, where a > 0

• y = c - ax^2, where a > 0

What is the sum of the roots of the equation x^2 - 7x + 10 = 0?

• 7

• 3

• 10

• 5

If the quadratic equation is in the form ax^2 + bx + c = 0, what does 'a' represent?

• The coefficient of x^2.

• The exponent of x.

• The constant term in the equation.

• The coefficient of x.