Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
x^3 - 4x + 1 = 0 Solve for x..?
How would I do this please explain
2 Answers
- Anonymous1 decade agoFavorite Answer
1A. Solve by Factorization
x^3 -4*x +1 = 0
Separate : ( x^3 +2.1149*x^2 ) + ( -2.1149*x^2 -4.4728*x ) + ( 0.4728*x +1 ) = 0
Commutative Law : ( x^3 -2.1149*x^2 +0.4728*x ) + ( 2.1149*x^2 -4.4728*x +1 ) = 0
Distributive Law : x*( x^2 -2.1149*x +0.4728 ) + 2.1149*( x^2 -2.1149*x +0.4728 ) = 0
Factor : ( x +2.1149 )*( x^2 -2.1149*x +0.4728 ) = 0
Separate : ( x +2.1149 )*( ( x^2 -0.2541*x ) + ( -1.8608*x +0.4728 ) ) = 0
Commutative Law : ( x +2.1149 )*( ( x^2 -1.8608*x ) + ( -0.2541*x +0.4728 ) ) = 0
Distributive Law : ( x +2.1149 )*( x*( x -1.8608 ) + -0.2541*( x -1.8608 ) ) = 0
Factor : ( x +2.1149 )*( x -0.2541 )*( x -1.8608 ) = 0
So the Polynomial have 3 roots :
x1 = -2.1149
x2 = 0.2541
x3 = 1.8608
- Andreas ALv 61 decade ago
x1 = -2,1149075414767555
x2 = 0,2541016883650524
x3 = 1,8608058531117033
Source(s): It's explained here: http://en.wikipedia.org/wiki/Cubic_equation
