Printable “Quadratic Equations” worksheets:
Solve Quadratic Equation (use factoring)
Solve Word Problems using Quadratic Equations
Sketching Quadratic Graphs
Rewrite Expressions in Completed-Squared Form
Solve Quadratic Equation (use completing the square)
Solve Quadratic Equation (use quadratic formula)
Examples, solutions, videos, and worksheets to help Algebra 1 students learn how to solve complex quadratic equations, including those with a leading coefficient other than 1, by completing the square. Some solutions may be irrational.
To solve a quadratic equation by completing the square, we use the method of completing the square to rewrite the equation in a form where we can isolate π₯. Hereβs a step-by-step guide along with an example.
Steps to Solve a Quadratic Equation by Completing the Square
Given an equation of the form:
ππ₯2 + ππ₯ + π = 0
The following example shows how to solve a quadratic equation by completing the square.
Have a look at this video if you need to review how to solve quadratic equations by completing the square.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Solve Quadratic Equation by Completing the Square Worksheets.
Printable
(Answers on the second page.)
Solve Quadratic Equation by Completing the Square Worksheet #1 (a = 1, b is even)
Solve Quadratic Equation by Completing the Square Worksheet #2 (a = 1)
Solve Quadratic Equation by Completing the Square Worksheet #3 (a β 1)
Solve Quadratic Equation by Completing the Square Worksheet #4 (mixed)
Solve Quadratic Equation by Completing the Squares
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