Complex Numbers And Quadratic Equations question 810

Question: One root of the following given equation $ 2x^{5}-14x^{4}+31x^{3}-64x^{2}+19x+130=0 $ is [MP PET 1985]

Options:

A) 1

B) 3

C) 5

D) 7

Show Answer

Answer:

Correct Answer: C

Solution:

Putting $ x=5 $ $ 2{{(5)}^{5}}-14{{(5)}^{4}}+31{{(5)}^{3}}-64{{(5)}^{2}}+19(5)+130=0 $ Hence $ x=5 $ satisfies the given equation. Thus 5 is a root of the equation.