Solving Quadratic Equations with a Perfect Square Trinomial

Question:
Solve: x squared plus 2x plus 1 equals 0.

Solving Quadratic Equations with a Perfect Square Trinomial

This lesson shows how to solve a quadratic equation whose left side is a perfect square trinomial. Students learn to recognize the pattern, factor it into a squared binomial, and interpret the resulting double root.

In this lesson, you will learn to:
• Recognize a perfect square trinomial and apply the pattern $a^2 + 2ab + b^2 = (a+b)^2$
• Factor a quadratic equation into a squared binomial and solve by taking the square root
• Understand what a repeated (double) root means in the context of a quadratic equation
• Verify a solution by substituting it back into the original equation

Course: Calculus
Level: Grade 9

Pause before each step, try the next part yourself, and then continue to check your reasoning.

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