Solving Quadratics
Discriminant
Quadratic Inequalities
100

Solve for the roots: x2 + 5x + 4 = 0

What is x = (-1, 0) and (-4, 0)?

100

If the discriminant value is 23, how many possible real solutions does the quadratic have?

What is 2?

100

Solve the quadratic inequality x2 - 1 < 0:

What is -1 < x < 1?

200

Solve for the roots: x2 - 5x = 6 

What is x = (6, 0) and (-1, 0)?

200

If a given quadratic equation has two real roots, what must the discriminant value be? (Hint: Inequality)

What is >0?

200

Solve the quadratic inequality -x2 - 5x - 6 > 0:

What is -6 < x < 1?

300

Solve for the x values: 2x2 - 6x + 5 = 0

What is "no real solutions"?

300

Given the quadratic 2x2 - x + 2 = 0, what is the discriminant value and its associated number of solutions?

What is -15 and no real solutions?

300

Solve the quadratic inequality x2 - 36 ≤ 0:

What is -6 ≤ x ≤ 6?

400
Solve for the x-intercepts: 4x2 - 4x + 1 = 0

What is x = (0.5, 0)?

400

Given the quadratic 4x2 + 3x - 4 = 0, what is the discriminant value and its associated number of solutions?

What is 73 and two real solutions?

400

Solve the inequality 4x2 - 12 > 3x2 + x:

What is x < -3 or x > 4?

500

Solve for the EXACT x value(s): x2 + 4x + 6

What is -2 ± i?

500

Given 8x2 - 17x + k has two real solutions, find the possible values of k:

What is k < 9.03125?
500

Solve the inequality 17x2 + 15x - 2 ≥ 0:

What is x ≤ -1 or x ≥ 2/17?