Wait Darn

Algebra Level 4

How many solutions are there to the equation x 3 − 3 x 2 + 3 x − 1 x − 1 = 0 ? \frac { { x }^{ 3 }-{ 3x }^{ 2 }+3x-1 }{ x-1 } = 0?

1 0 3 2 -1 None of the others

Brian Wang by Brian Wang , 19, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Brian Wang
Nov 15, 2015

The top part of the fraction is ( x − 1 ) 3 {(x-1)}^{3} The top is 0 when x is 1, but if x is one the equation is undefined, so there are no solutions.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Kay Xspre
Nov 15, 2015

Simplify the LHS to ( x − 1 ) 2 = 0 (x-1)^2 = 0 , taking account that x ≠ 1 x \neq 1 (division by zero). The simplification gives only x = 1 x = 1 as an answer, which contradict the assumption that x ≠ 1 x \neq 1 , hence the question has no solution.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...