the complex nos. whose real n imaginary parts r integers n satisfy d equation z.conj z3 + z3conj.z=350 forms a rectangle on the argand plane , the lenght of whose digonal is, 5 10 15 25
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1 Answers
62z.z(z2 + z 2)=350
now the coeff are integer
z=a+ib
( a2+b2 ) ( a2 -b2) = 175
a4 - b4 = 175
forth powers are given by 1, 16, 81, 256, 625
after 256 the numbers become too large for the diff to be less than 175
so the options for a4 = 256 a=±4 and b = ±3
so now the diagonal becomes 10
