Loading [MathJax]/jax/output/SVG/config.js
 
+0  
 
0
6
1
avatar+1725 

Find all roots of the polynomial
f(x) = x^4 - 5x^3 + 5x^2 + 17x - 42 + 4x^4 + 10x^3 - 18x^2 + 2x - 5.

 Feb 21, 2025
 #1
avatar+130466 
+1

Simplify as

 

5x^4  + 5x^3  - 13x^2  + 19x -  47  = 0

 

No rational roots are possible

 

WolframAlpha shows the real  roots to be     x ≈ -2.8195   and x ≈ 1.5644

The non-real roots are  ≈ .1276 +/- 1.4542i

 

cool cool cool

 Feb 21, 2025

1 Online Users

avatar