TIFR-2013-Maths-A: 3

Question

True/False Question :

The equation $x^{3}+3x-4=0$ has exactly one real root.

Answer 1

It can be factorised to $\left ( x-1 \right )\left ( x^{2} +x+4\right )$. So its root are 1, $(-1\pm \sqrt{15}i)/2$