Given that the roots of the equation x^2-6x+c=0 are 3+8i and 3-8i, the value of c can be obtained as follows; taking x=3+8i and substituting it in our equation we get: (3+8i)^2-6(3+8i)+c=0 -55+48i-18-48i+c=0 collecting the like terms we get: -55-18+48i-48i+c=0 -73+c=0 c=73 the answer is c=73
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