Solving x² - 5x + 6 = 0

Algebra 1 · Axiom Academy

EXAMPLE Solving x^2 - 5x + 6 = 0 Let's solve x^2 - 5x + 6 = 0 by factoring and applying the zero product property. Solve the quadratic equation x^2 - 5x + 6 = 0 by factoring, then use the zero product property to find both solutions. Excellent work! You've successfully solved a quadratic equation by factoring. Here's what we learned: Factoring Strategy: Find two numbers that multiply to the constant term ( c ) and add to the coefficient of x ( b ). Zero Product Property: If , then a = 0 or b = 0 (or both). Two Solutions: Most quadratic equations have two solutions (also called roots or zeros). Always Verify: Substitute your solutions back into the original equation to confirm they work. This method works whenever a quadratic can be factored. Remember: not all quadratics factor nicely, but when they do, this is the fastest method!

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