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CCSS.MATH.CONTENT.HSA.REI.B.4

Solve quadratic equations in one variable.

CCSS.MATH.CONTENT.HSA.REI.B.4.A

Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions. Derive the quadratic formula from this form.

Grades 9-12

Tutorial

We've worked on linear equations. To learn about linear equations, click here.

These equations had a constant rate of change, sometimes known as the slope.

Quadratic Equations have a variable rate of change; a variable slope. This is an example of a quadratic equation:

Linear equation graphs were straight lines. Quadratic equation graphs are parabolas.

This video shows where we can see quadratic equations in the real world.

To learn how to complete the square when solving quadratic equations, click here.

This is an example of completing the square.