Complex Numbers And Quadratic Equations question 605

Question: If 3 is a root of $ x^{2}+kx-24=0, $ it is also a root of [EAMCET 2002]

Options:

A) $ x^{2}+5x+k=0 $

B) $ x^{2}-5x+k=0 $

C) $ x^{2}-kx+6=0 $

D) $ x^{2}+kx+24=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

Equation $ x^{2}+kx-24=0 $ has one root is 3.
$ \Rightarrow 3^{2}-3k-24=0 $
$ \Rightarrow k=5 $ Put $ x=3 $ and $ k=5 $ in options, only (c) gives the correct answer.