If α and β , α and γ , α and δ are the roots of the equations a x 2 + 2 b x + c = 0 , 2 b x 2 + c x + a = 0 and c x 2 + a x + 2 b = 0 respectively where a , b , c are positive real numbers, then α + α

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If α and β , α and γ , α and δ are the roots of the equations a x 2 + 2 b x + c = 0 , 2 b x 2 + c x + a = 0 and c x 2 + a x + 2 b = 0 respectively where a , b , c are positive real numbers, then α + α 2 =

TestHub · Accepted Answer

a α 2 + 2 b α + c = 0 a + 2 b α 2 + c α a α + 2 b + c α 2 ∵ a , b , c ∵ a + α 2 ​ = 0 = 0 ∈ R + th e n = − 1 ​ t h e n ( a + 2 b + c ) ( 1 + α + α 2 ) = 0

Mathematics - Quadratic Equation Question with Solution | TestHub

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