document.write( "Question 721421: Solve the following equation using the substitution method.
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document.write( "x^4 –5x^2 –14=0
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document.write( "Complete the following steps to solve the above equation:
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document.write( " Let u=x^2, substitute the variables, and write the new equation.
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document.write( " Now factor the new equation, apply the zero-product principle, and solve for u.
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document.write( " Now substitute u=x^2 to solve for x.
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Algebra.Com's Answer #442357 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the following equation using the substitution method. \n" ); document.write( "x^4 –5x^2 –14=0 \n" ); document.write( "---- \n" ); document.write( "Let u = x^2; then substitute: \n" ); document.write( "---- \n" ); document.write( "u^2 -5u -14 = 0 \n" ); document.write( "------ \n" ); document.write( "Factor: \n" ); document.write( "(u-7)(u+2) = 0 \n" ); document.write( "---- \n" ); document.write( "u = 7 or u = -2 \n" ); document.write( "------ \n" ); document.write( "Solve for \"x\": \n" ); document.write( "x^2 = 7 or x^2 = -2 \n" ); document.write( "----- \n" ); document.write( "x = +-sqrt(7) or x = +-i*sqrt(2) \n" ); document.write( "================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( " \n" ); document.write( " |