Completing the Square

Front

What is completing the square?

Back

Completing the square is a method used to solve quadratic equations by rewriting them in the form of a perfect square trinomial, allowing for easier solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the standard form of a quadratic equation?

Back

Front

Back

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex form of a quadratic equation?

Back

Front

What is the first step in completing the square?

Back

The first step is to move the constant term to the other side of the equation.

Tags

CCSS.HSA-REI.B.4B

Front

Back

Take half of 8 (which is 4) and square it (4^2 = 16). Add 16 to both sides of the equation.

Tags

CCSS.HSA-REI.B.4B

Front

Back

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean for a quadratic to have complex solutions?

Back

A quadratic has complex solutions when the discriminant (b^2 - 4ac) is less than zero, indicating that the parabola does not intersect the x-axis.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Front

How do you derive the quadratic formula from completing the square?

Back

Tags

CCSS.HSA-REI.B.4B

Front

What is the discriminant of a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B