Question

One root of the following given equation $2x^5-14x^4+31x^3-64x^2+19x+130=0$ is

• A. 1
• B. 3
• C. 5
• D. 7

Answer 1

The correct option is C

5

We can solve this problem using options given -
On putting x = 5, we get

$2(5{)}^5-14(5{)}^4+31(5{)}^3-64(5{)}^2+19\left(5\right)+130=0$

Hence x = 5 satisfies the given equation.

Thus 5 is a root of the equation.
Other options will not satisfy the given equation so the answer is x = 5.