Complex Numbers And Quadratic Equations question 175
Question: The coefficient of $ x $ in the equation $ x^{2}+px+q=0 $ was taken as 17 in place of 13, its roots were found to be -2 and -15, The roots of the original equation are [IIT 1977, 79]
Options:
A) 3, 10
B) - 3, - 10
C) - 5, - 18
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Let the equation (in correctly written form) be $ x^{2}+17x+q=0 $ . Roots are - 2, - 15. So 30=q, so correct equation is $ x^{2}+13x+30=0 $ . Hence roots are - 3, - 10.
BETA
