document.write( "Question 934640: How do I find all zeros in f(x) = x^3 + 1?
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Algebra.Com's Answer #567628 by stanbon(75887) ![]() You can put this solution on YOUR website! How do I find all zeros in f(x) = x^3 + 1? \n" ); document.write( "----- \n" ); document.write( "x^3+1 is divisible by x+1 \n" ); document.write( "---- \n" ); document.write( "x^3+1 = (x+1)(x^2 - x + 1) \n" ); document.write( "---- \n" ); document.write( "Solve:: (x+1)(x^2-x+1) = 0 \n" ); document.write( "If x+1 = 0, x = -1 \n" ); document.write( "OR \n" ); document.write( "If x^2-x+1 = 0 \n" ); document.write( "x = [1 +- sqrt(1-4*1*1)]/2 \n" ); document.write( "x = [1+sqrt(-3)]/2 = (1+isqrt(3))/2 \n" ); document.write( "OR \n" ); document.write( "x = (1-isqrt(3)]/2 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " |