Which is the root of the equation x4-9×3+6×2+2?
A. 1
B. -1
C. -2
D. None of these
Answer
Correct Answer: D. None of these
Solution
The roots of equation x^4 – 9x^3 + 6x^2 + 2 cannot be determined exactly by factoring or using the rational root theorem, as there are no rational roots.
However, we can use numerical methods or a computer algebra system to find the approximate roots. Using a graphing calculator or a computer algebra system, we can plot the function y = x^4 – 9x^3 + 6x^2 + 2 and find its zeros, which are the roots of the equation.
The approximate roots are:
x ≈ -2.5061 x ≈ -0.2213 x ≈ 0.1156 x ≈ 8.6118
Therefore, none of the given options A, B, C, or D is the root of the equation x^4 – 9x^3 + 6x^2 + 2.