Each of m and n is a complex number that satisfies this set of simultaneous equations:
Without solving for m and n, determine the value of mn
Note: mn is the product of m and n, rather than their concatenations.
Refer to mn as y:
y-n^2=3
y+2*(y/n)^2=1
Program:
syms y n
eq1=y-n^2==3;
eq2=y+2*(y/n)^2==1;
s=solve([eq1 eq2],y,n);
s.y
finds
2/3 - (5^(1/2)*1i)/3
(5^(1/2)*1i)/3 + 2/3
2/3 - (5^(1/2)*1i)/3
(5^(1/2)*1i)/3 + 2/3
In easier-to-read form:
y = mn = 2/3 +/- sqrt(5)/3 i
repeated twice for some reason, probably paired with different values of n.
Approximately
0.666666666666667 - 0.74535599249993i
0.666666666666667 + 0.74535599249993i
|
|
Posted by Charlie
on 2023-01-08 08:56:36 |
computer solution
