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+clc;
+tr=2.5; // ratio of maximum torque to full load torque
+sm=0.18; // maximum slip
+r=1; // per phase rotor resistance
+x2=r/sm; // rotor reactance
+// using expression for tr we obtain a quadratic equation is s(full load slip) whose terms are
+t1=1;
+t2=-tr*2*sm;
+t3=sm^2;
+t=[ t1 t2 t3 ];
+s=roots(t);
+x=sqrt((2*x2)/(((r/s(2))^2+x2^2)*s(2)));
+printf('Minimum voltage that could be impressed so that motor can supply rated torque is %f times rated voltage or %f percent of rated voltage\n',x,x*100);
+// from expression for maximum torque and full load torque we get a quadratic equation in R(externall resistance) whose terms are
+t1=1;
+t2=2-2*x2;
+t3=1+x2^2-2*x2;
+t=[ t1 t2 t3 ];
+R=roots(t);
+printf('External resistance inserted in rotor circuit is %f ohms\n',R(2));