Complex Numbers And Quadratic Equations question 796
Question: The least integer k which makes the roots of the equation $ x^{2}+5x+k=0 $ imaginary is [Kerala (Engg.) 2002]
Options:
A) 4
B) 5
C) 6
D) 7
Show Answer
Answer:
Correct Answer: D
Solution:
Roots are non-real if discriminant < 0 i.e. if $ 5^{2}-4.1k<0 $ i.e. if $ 4k>25 $ i.e. if $ k>\frac{25}{4} $ Hence, the required least integer k is 7.
BETA
