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If (x+i y)^5=p+i q , then prove that (y+...

If `(x+i y)^5=p+i q ,` then prove that `(y+i x)^5=q+i pdot`

Text Solution

Verified by Experts

`underline((x+iy)^(5)) = underline(p+iq)`
or `underline((x +iy^(5))) = p + iq`
or `(x+iq)^(5) = p-iq`
or`(x-iy)^(5) = p-iq`
or `i^(5)(x-iy)^(5) = "pi"^(5) - i^(6)q`
or ` (xi -i^(2)y)^(5) = "pi" + q`
or `(y + ix)^(5) = "pi" +q`
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