A quadratic equation x² - 12x + a = 0 has roots where one root is three times the other. What is the value of a?

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Subject: Quadratic Equationsmathematics-mcqs › quadratic-equations
Published: 10 Jul 2019
Last updated: 28 May 2026

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Explanation

Let the roots be x and 3x. The sum of the roots is x + 3x = 4x, which equals 12 (from the equation's coefficient). Solving 4x = 12 gives x = 3. The product of the roots is x * 3x = 3x² = 3 * 3² = 27. Therefore, the value of a is 27.

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A quadratic equation x² - 12x + a = 0 has roots where one root is three times the other. What is the value of a?

Explanation

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