The value of ' a ' for which one root of the quadratic equation ( a 2 − 5 a + 3 ) x 3 + ( 3 a − 1 ) x + 2 = 0 is twice as large as the other is

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3 α = a 2 − 5 a + 3 1 − 3 a ​ &2 α 2 = a 2 − 5 a + 3 2 ​ 2 [ 9 1 ​ ( a 2 − 5 a + 3 ) 2 ( 1 − 3 a ) 2 ​ ] = a 2 − 5 a + 3 2 ​ ( a 2 − 5 a + 3 ) ( 1 − 3 a ) 2 ​ = 9 or 9 a 2 − 6 a + 1 = 9 a 2 − 45 a + 27 or 39 a = 26 or a = 3 2 ​

Mathematics - Quadratic Equation Question with Solution | TestHub

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