If 2 and 6 are the roots of the equation a x 2 + b x + 1 = 0 , then the quadratic equation, whose roots are 2 a + b 1 and 6 a + b 1 , is :

Question

If 2 and 6 are the roots of the equation a x 2 + b x + 1 = 0 , then the quadratic equation, whose roots are 2 a + b 1 ​ and 6 a + b 1 ​ , is :

TestHub · Accepted Answer

​ Sum = 8 = − a b ​ Product = 12 = a 1 ​ ⇒ a = 12 1 ​ b = − 3 2 ​ 2 a + b = 12 2 ​ − 3 2 ​ = − 2 1 ​ 6 a + b = 12 6 ​ − 3 2 ​ = − 6 1 ​ sum = − 8 P = 12 x 2 + 8 x + 12 = 0 ​

Mathematics - Quadratic Equation Question with Solution | TestHub

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