document.write( "Question 166928This question is from textbook Algebra and Trigonometry Structure and Method book 2
\n" );
document.write( ": I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r
\n" );
document.write( "\n" );
document.write( "Solving Polynomial Equations.
\n" );
document.write( "Solve. Identify all multiple roots.
\n" );
document.write( "(x^2-3)^2+(x^2-3)-2=0 \n" );
document.write( "
Algebra.Com's Answer #122968 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Identify all multiple roots. \n" ); document.write( "(x^2-3)^2+(x^2-3)-2=0 \n" ); document.write( "----------------- \n" ); document.write( "Substitution: Let w = x^2-3 \n" ); document.write( "------------- \n" ); document.write( "You get: w^2 + w -2 = 0 \n" ); document.write( "Factor to get: \n" ); document.write( "(w+2)(w-1) = 0 \n" ); document.write( "w = -2 or w = 1 \n" ); document.write( "------------------ \n" ); document.write( "Solve for \"x\": \n" ); document.write( "If w = -2, then \n" ); document.write( "x^2-3 = -2 \n" ); document.write( "x^2 = 1 \n" ); document.write( "x = 1 or -1 \n" ); document.write( "--------------- \n" ); document.write( "If w = 1, then \n" ); document.write( "x^2-3 = 1 \n" ); document.write( "x^2 = 4 \n" ); document.write( "x = 2 or x = -2 \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |