If z_1,z_2,z_3,z_4 are roots of the equation a_0z^4+a_1z^3+a_2z^2+a_3z+a_4=0, where a_0,a_1,a_2,a_3 and a_4 are real, then

JEE Advanced Mathematics question

If are roots of the equation

++++=0,

where and are real, then

Answer: (A),(B)

If is a root, . Taking the **conjugate** of both sides and using that the are real,

+ + + z+=0,

so is also a root. Hence (a): nonreal roots occur in conjugate pairs (with equal multiplicities),

Create a free account to read the complete working (5 steps), and practise questions like this in a timed test.

Question ID VK-108118