What are the solutions of x² − 5x + 6 = 0?

Correct answer: B. x = 2 and x = 3

Factor: x² − 5x + 6 = (x − 2)(x − 3) = 0, so x = 2 or x = 3. Two numbers that multiply to 6 and add to 5 are 2 and 3. Check: 2² − 5(2) + 6 = 0 and 3² − 5(3) + 6 = 0.

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Answer and explanation

The correct answer is B. x = 2 and x = 3

Factor: x² − 5x + 6 = (x − 2)(x − 3) = 0, so x = 2 or x = 3. Two numbers that multiply to 6 and add to 5 are 2 and 3. Check: 2² − 5(2) + 6 = 0 and 3² − 5(3) + 6 = 0.

Topic: Algebra and Equations MCQs · Subject: Numerical Ability