GATE Electronics and Communications (EC) 2020 Solved Papers

Question : 9 of 65

Marks: +1, -0

{a}, {b}, {c}

are real numbers. The quadratic equation

{ax} 2- {bx}+ {c}=0

has equal roots, which is

β

, then

Solution:

{Ax}^{2}- {bx}+ {c}=0

2 β=\;{ {b}}/{ {a}} ⇒ β=\;{ {b}}/{2 {a}}

------(i)

β^{2}=\;{C}/{a}

-----(ii)
(i) × (ii) given

β^{3}=\;{b c}/{2 a^{2}}

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