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(5) For what values of x and y, the numbers 3+ ix y and x2 +y + 4i are complexconjugate of each other?

Answer»

numbers are conjugateso x^2+y=-3 so x^2=-3-yx^2y=-4(-3-y)y=-4-3y-y^2=-4y^2+3y-4=0(y+4)(y-1)=0so y=-4 or y=1if y=-4 then x=-3+4=1if y=1 then x=-3-1=-4



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