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Solve a quadratic equation by completing the square

Free printable Integrated Math 3 math worksheet for "Solve a quadratic equation by completing the square" — practice complex numbers and quadratic equations. No-prep, print or assign online.

This worksheet guides students through solving quadratic equations by completing the square, emphasizing both real and complex solutions. Teachers can use it to reinforce algebraic manipulation skills and deepen understanding of quadratic functions within Integrated Math 3. The exercises challenge students with hard-level problems to build proficiency in complex numbers and equation solving techniques.

Math
Algebra & Functions
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Rewrite quadratic equations in the form ax² + bx + c = 0 to prepare for completing the square
  • Complete the square to transform quadratic equations into perfect square trinomials
  • Solve quadratic equations by isolating the variable and interpreting solutions, including complex numbers

How to use this worksheet

  1. Click “Download Worksheet” to get the PDF — free with a KiwiBee account (up to 25 downloads a month).
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Hand it out as classwork, homework, or a quick warm-up.

Frequently asked questions

Is the “Solve a quadratic equation by completing the square” worksheet free?

Yes. “Solve a quadratic equation by completing the square” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 25 downloads a month.

What grade or age is this Math worksheet for?

It's designed for High School (ages 14–18), covering Complex numbers and quadratic equations.

Do I need to prep anything?

No. It's a no-prep, print-and-go worksheet — just download and hand it out.

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