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Find real number x and y if (x-iy)(4 + 7...

Find real number x and y if `(x-iy)(4 + 7i)` is the conjugate of 29-2i.

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Find the real numbers x and y, if (x-iy)(3+5i) is the conjugate of -6-24i

(a) Write the conjugates of the following: (i) 3+i (ii) 3-i (iii) -sqrt(5)-sqrt(7)i (iv) -sqrt(5)i (v) (4)/(5) (vi) 49-(i)/(7) (vii) (1-i)/(1+i) (viii) (1+i)^(2) (ix) (2+5i)^(2) (x) (-2-(1)/(3)i)^(3) (b) Find the real number x and y if: (i) (x-iy)(3+5i) is the conjugate of -6-24 i (ii) -3+ix^(2)y and x^(2)+y+4i are congugate of each other.

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