SOLUTION: write quadratic equation whose solutions are 1+2i and 1-2i
The equation is x^2-_x+_=0
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Question 985919: write quadratic equation whose solutions are 1+2i and 1-2i
The equation is x^2-_x+_=0
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
The sum of the roots is (1+2i) + (1-2i) = 2.
The product of the roots is (1+2i)*(1-2i) = - = 1 - 4*(i^2) = 1 - 4*(-1) = 1+4 = 5.
Hence, the quadratic equation is
(x-x1)*(x-x2) = 0, or
- + = , or
- + = .
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