document.write( "Question 1005247: If the line (b^2-1)x-(b+1)y=b is perpendicular to the line x+2y=1, then find the value of b. \n" ); document.write( "

Algebra.Com's Answer #621567 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
The slopes, $\"%28b%5E2-1%29%2F%28b%2B1%29\"$ and $\"-1%2F2\"$ , must be able to form a product of $\"-1\"$ . The solved value for b will make the two lines perpendicular.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%28b%5E2-1%29%2F%28b%2B1%29=2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"b%5E2-1=2b%2B2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"b%5E2-2b-3=0\"$ , factorable.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%28b%2B1%29%28b-3%29=0\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You WANT the slope of the first equation to be 2.
\n" ); document.write( "b=3 will work, but b=-1 will not work. \n" ); document.write( "

\n" );