Answer to Question #16058 in MatLAB | Mathematica | MathCAD | Maple for khwajakhurramhussain
2012-10-08T08:54:37-04:00
use matlab to find the roots of 13x^3+182x^2-184x+2503=0
1
2012-10-09T08:48:37-0400
to obtain an exact solution run the following commands: syms x; q=solve('13*x^3+182*x^2-184*x+2503', x) This will give the following three roots: q = - 3100/(117*(162109/702 - (79092^(1/2)*2746509413^(1/2))/79092)^(1/3)) - (162109/702 - 1/79092*79092^(1/2)*2746509413^(1/2))^(1/3) - 14/3 1550/(117*(162109/702 - (79092^(1/2)*2746509413^(1/2))/79092)^(1/3)) + (162109/702 - (79092^(1/2)*2746509413^(1/2))/79092)^(1/3)/2 - (3^(1/2)*i*(3100/(117*(162109/702 - (79092^(1/2)*2746509413^(1/2))/79092)^(1/3)) - (162109/702 - 1/79092*79092^(1/2)*2746509413^(1/2))^(1/3)))/2 - 14/3 1550/(117*(162109/702 - (79092^(1/2)*2746509413^(1/2))/79092)^(1/3)) + (162109/702 - (79092^(1/2)*2746509413^(1/2))/79092)^(1/3)/2 + (3^(1/2)*i*(3100/(117*(162109/702 - (79092^(1/2)*2746509413^(1/2))/79092)^(1/3)) - (162109/702 - 1/79092*79092^(1/2)*2746509413^(1/2))^(1/3)))/2 - 14/3 The formulas are rather complicated. To obtain numerical solutions use the commands syms x; q=solve('13*x^3+182*x^2-184*x+2503.0', x) Then we get the following numerical values of roots: q = -15.684996994758873743020093097571 3.400812098166834260546246531635608088941016256759685592753500752*i + 0.8424984973794368715100465487855931052563643471910202548058171968 0.8424984973794368715100465487855931216471495813440972869080880358 - 3.4008120981668342605462465316356*i
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