document.write( "Question 134053: Find the roots of the given equation x(x-1)^2=0
\n" ); document.write( "Show work below
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #98027 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given: $\"x%28x-1%29%5E2=0\"$
\n" ); document.write( "find the roots.\r
\n" ); document.write( "\n" ); document.write( "What does it mean to be a root of an equation? That is a value of x that yields a solution.\r
\n" ); document.write( "\n" ); document.write( "In order for a product of terms to equal zero, at least one term must be 0. (Since 0 times anything is 0)\r
\n" ); document.write( "\n" ); document.write( " $\"x%28x-1%29%5E2=0\"$
\n" ); document.write( " $\"x%28x-1%29%28x-1%29=0\"$
\n" ); document.write( "so, either x = 0 or (x-1) = 0 or (x-1) = 0\r
\n" ); document.write( "\n" ); document.write( "roots are 0, 1, 1
\n" ); document.write( " \n" ); document.write( "

\n" );