Final: Square It Away

Part of the Quadratics & Complex Numbers section of Coddy's Algebra 2 journey. Lesson 44 of 48.

Solve the equation on the board by completing the square. Factoring and the quadratic formula are switched off. Its two answers are not whole numbers, so leave them exact, with a square root.

Challenge

Solve ${x}^{2}-8x+3 = 0$ by completing the square. Give both answers exactly.

Try it yourself

x^{2}-8x+3 = 0

Get $x$ alone

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Quadratics & Complex Numbers

1The Vertex

The Axis of Symmetry Drawing from Standard Form Maximum or Minimum Recap: The Vertex

4Imaginary Numbers

Meet i Roots of Negatives Not a Perfect Square Powers of i Recap: Imaginary Numbers

7The Discriminant

Computing It Three Kinds of Answers Reading the Sign Recap: The Discriminant

10Final Challenges

Final: Square It AwayFinal: The Peak Final: Divide It Final: No Real Roots Final: Where They Meet

2Completing the Square

The Missing Number Completing the Square When a Is Not 1 Recap: Completing the Square

5Complex Arithmetic

Adding and Subtracting Multiplying The Conjugate Dividing A Pure Imaginary Bottom Recap: Complex Arithmetic

8Lines Meet Parabolas

Two Crossings Just Touching No Meeting A Circle and a Line Recap: Lines and Parabolas

3Vertex Form by Algebra

From Standard to Vertex Odd Middle Terms A Leading Number Opening Down Recap: Vertex Form

6Complex Solutions

Squares Equal to Negatives A Shifted Square The Formula Goes Complex Fractions in the Answer Recap: Complex Solutions

9Quadratic Models

The Highest Point Back to the Ground The Biggest Area Price and Revenue Recap: Models