document.write( "Question 807586: Find all possible numbers where twice the reciprocal of the square of a number, less three times the reciprocal of a number is -1\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "something has to equal -1?
\n" );
document.write( "i am so lost and the wording of it is confusing me \n" );
document.write( "
Algebra.Com's Answer #486392 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find all possible numbers where twice the reciprocal of the square of a number, less three times the reciprocal of a number is -1 \n" ); document.write( "-------- \n" ); document.write( "Let the number be \"x\":: \n" ); document.write( "Equation: \n" ); document.write( "2(1/x)^2 - 3(1/x) = -1 \n" ); document.write( "-------- \n" ); document.write( "Rearrange:: \n" ); document.write( "2(1/x)^2 -3(1/x) + 1 = 0 \n" ); document.write( "-------- \n" ); document.write( "Note: That is a quadratic with variable 1/x. \n" ); document.write( "-------- \n" ); document.write( "Factor:: \n" ); document.write( "(2(1/x) -1)((1/x)-1) = 0 \n" ); document.write( "----- \n" ); document.write( "(1/x) = 1/2 or (1/x) = 1 \n" ); document.write( "----- \n" ); document.write( "Answer:: x = 2 or x = 1 \n" ); document.write( "============================ \n" ); document.write( "Cheer \n" ); document.write( " |