Quadratic Formula and Discriminant ***

Front

What does the discriminant tell us?

Back

The number and type of solutions.

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is positive, what can we conclude about the solutions?

Back

There are two real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is zero, what does that indicate about the solutions?

Back

There is one real solution (a repeated root).

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is negative, what does that imply about the solutions?

Back

There are two complex solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

In the quadratic equation ax² + bx + c = 0, what do a, b, and c represent?

Back

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

Front

How do you determine the values of a, b, and c from the equation 4x² - 8x = 3?

Back

Rearrange to standard form: 4x² - 8x - 3 = 0, so a = 4, b = -8, c = -3.

Front

What is the sum of the complex numbers (5-2i) and (-7+8i)?

Back

The sum is -2 + 6i.

Tags

CCSS.HSN.CN.A.2

Front

What does i² equal?

Back

i² equals -1.

Tags

CCSS.HSN.CN.A.1

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.