# SOLUTION: The sum of two complex numbers is 6 and their product is 10. One number is? a. -3+i b. -3-i c. 3+i d. -6+i

Algebra ->  Algebra  -> Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The sum of two complex numbers is 6 and their product is 10. One number is? a. -3+i b. -3-i c. 3+i d. -6+i      Log On

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 202880: The sum of two complex numbers is 6 and their product is 10. One number is? a. -3+i b. -3-i c. 3+i d. -6+iAnswer by dyakobovitch(40)   (Show Source): You can put this solution on YOUR website!The sum of two complex numbers is 6 and their product is 10. One number is? a. -3+i b. -3-i ***c. 3+i*** d. -6+i We assume that we are dealing with a quadratic equation. The sum of two numbers is -b/a=6. Our product is c/a=10. A quadratic equation is defined as Ax^2+Bx+C=0. So, let's simply test our solutions to see which ones hold. We know that imaginary solutions for quadratics come in pairs or conjugates. By testing our answers, we see that C. 3+ i is the only answer to satisfy the solution. 3+i and 3-i. The sum is 6. The product is 10. C. We are done. -- David