Quadratic Formula

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Tags

CCSS.HSA-REI.B.4B

Front

What does the 'a' represent in the quadratic formula?

Back

'a' represents the coefficient of the x² term in the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

What does the 'b' represent in the quadratic formula?

Back

'b' represents the coefficient of the x term in the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

What does the 'c' represent in the quadratic formula?

Back

'c' represents the constant term in the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

What is the discriminant in the quadratic formula?

Back

The discriminant is the part of the formula under the square root: b² - 4ac. It determines the nature of the roots.

Tags

CCSS.HSA-REI.B.4B

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that there are two distinct real roots.

Tags

CCSS.HSA-REI.B.4B

Front

What does a zero discriminant indicate?

Back

A zero discriminant indicates that there is exactly one real root (a repeated root).

Tags

CCSS.HSA-REI.B.4B

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that there are no real roots, only complex roots.

Tags

CCSS.HSA-REI.B.4B

Front

How do you identify the 'b' value in the equation y = 16x² - 8x - 24?

Back

'b' is the coefficient of the x term, which is -8.

Front

How do you apply the quadratic formula to solve 9x² - 7x - 4 = 0?

Back

Identify a = 9, b = -7, c = -4, then substitute into the formula to find x.

Tags

CCSS.HSA-REI.B.4B