document.write( "Question 483445: i can't figure out the steps to find the zeros of this equation: y=125x^3-8 \n" ); document.write( "
Algebra.Com's Answer #330841 by stanbon(75887) ![]() You can put this solution on YOUR website! figure out the steps to find the zeros of this equation: y=125x^3-8 \n" ); document.write( "---- \n" ); document.write( "Solve: 125x^3-8 = 0 \n" ); document.write( "--- \n" ); document.write( "(5x)^2-2^3 = 0 \n" ); document.write( "--- \n" ); document.write( "Factor: \n" ); document.write( "(5x-2)(25x^2+10x+4) = 0 \n" ); document.write( "---- \n" ); document.write( "x = 2/5 and x is the zeroes of 25x^2+10x+4 = 0 \n" ); document.write( "---- \n" ); document.write( "Solve: 25x^2+10x+4 = 0 \n" ); document.write( "--- \n" ); document.write( "x = [-10 +- sqrt(100-4*25*4)]/50 \n" ); document.write( "---- \n" ); document.write( "x = [-10 +- sqrt(-300)]/50 \n" ); document.write( "------ \n" ); document.write( "x = [-10 +- 10sqrt(3)i]/50 \n" ); document.write( "------ \n" ); document.write( "x = (-1/5)-(1/5)sqrt(3)i pr x = (-1/5)+(1/5)sqrt(3)i \n" ); document.write( "--- \n" ); document.write( "Note: There are 3 solutions \n" ); document.write( "----------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |