AR Final Review Do Now - Quad Formula and Discriminant 12-11-24

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is a value that determines the nature of the roots of a quadratic equation, calculated as b² - 4ac.

Front

What is the value of b in the equation 5x² - 11 = 0?

Back

0

Front

What is the formula for the discriminant?

Back

b² - 4ac

Front

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

Back

It indicates that the equation has 2 imaginary roots.

Front

What does a discriminant of 0 indicate about the roots of a quadratic equation?

Back

It indicates that the equation has exactly 1 real root (a repeated root).

Front

What is the quadratic formula used to solve quadratic equations?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

How do you determine the number of real roots from the discriminant?

Back

If the discriminant is positive, there are 2 real roots; if it is zero, there is 1 real root; if it is negative, there are 2 imaginary roots.

Front

Solve the quadratic equation 2x² + 2x - 12 = 0 using the quadratic formula.

Back

x = 2, -3

Front

What is the value of the discriminant for the equation x² + 7x + 13 = 0?

Back

-3

Front

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

Back

a is the coefficient of x², b is the coefficient of x, and c is the constant term.