One root of the quadratic equation x2 12x a 0 is thrice the other Find the value of a ........

Quantitative Aptitude ( CCS) Algebra

One root of the quadratic equation x² - 12x + a = 0, is thrice the other. Find the value of a?

Let the roots of the quadratic equation be x and 3x.
Sum of roots = -(-12) = 12
a + 3a = 4a = 12
=> a = 3
Product of the roots = 3a² = 3(3)²= 27.

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