Quadratic Formula and Discriminant

Front

What does a negative discriminant indicate about the solutions of a quadratic equation?

Back

No real solutions.

Front

What is the formula for the discriminant in a quadratic equation?

Back

b² - 4ac

Front

Solve using the quadratic formula: 2x² - 9x - 35 = 0

Back

x = -5/2, x = 7

Front

Use the quadratic formula to solve: 2x² + 2x - 12 = 0

Back

x = 2, x = -3

Front

Determine the number of solutions for the equation -2x² - x - 1 = 0 using the discriminant.

Back

Discriminant = -7, No solutions.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

If the discriminant is zero, how many solutions does the quadratic equation have?

Back

One real solution.

Front

What does a positive discriminant indicate about the solutions of a quadratic equation?

Back

Two distinct real solutions.

Front

What are the coefficients in the quadratic equation ax² + bx + c?

Back

a = coefficient of x², b = coefficient of x, c = constant term.

Front

How do you calculate the discriminant for the equation 3x² + 6x + 2?

Back

Discriminant = 6² - 4(3)(2) = 36 - 24 = 12.