Complex Numbers And Quadratic Equations question 773
Question: The roots of the equation $ x^{2}+2\sqrt{3}x+3=0 $ are [RPET 1986]
Options:
A) Real and unequal
B) Rational and equal
C) Irrational and equal
D) Irrational and unequal
Show Answer
Answer:
Correct Answer: C
Solution:
Let $ f(x)=x^{2}+2\sqrt{3}x+3=0 $ Then $ x=\frac{-2\sqrt{3}\pm \sqrt{12-12}}{2} $ or $ x=-\sqrt{3} $ . Thus roots are irrational and equal.
BETA
